Merge pull request 'feat: Extract used constants from invocation' (#119) from frontend/data into dev

Reviewed-on: #119

LICENSE

@@ -0,0 +1,190 @@
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Main.lean

@@ -1,15 +1,15 @@
 import Lean.Data.Json
 import Lean.Environment
 
-import Pantograph.Version
-import Pantograph.Library
 import Pantograph
+import Repl
 
 -- Main IO functions
-open Pantograph
+open Pantograph.Repl
+open Pantograph.Protocol
 
 /-- Parse a command either in `{ "cmd": ..., "payload": ... }` form or `cmd { ... }` form. -/
-def parseCommand (s: String): Except String Protocol.Command := do
+def parseCommand (s: String): Except String Command := do
   let s := s.trim
   match s.get? 0 with
   | .some '{' => -- Parse in Json mode
@@ -29,15 +29,20 @@ partial def loop : MainM Unit := do
   if command.trim.length = 0 then return ()
   match parseCommand command with
   | .error error =>
-    let error  := Lean.toJson ({ error := "command", desc := error }: Protocol.InteractionError)
+    let error  := Lean.toJson ({ error := "command", desc := error }: InteractionError)
     -- Using `Lean.Json.compress` here to prevent newline
     IO.println error.compress
   | .ok command =>
+    try
       let ret ← execute command
       let str := match state.options.printJsonPretty with
         | true => ret.pretty
         | false => ret.compress
       IO.println str
+    catch e =>
+      let message ← e.toMessageData.toString
+      let error  := Lean.toJson ({ error := "main", desc := message }: InteractionError)
+      IO.println error.compress
   loop
 
 
@@ -45,15 +50,15 @@ unsafe def main (args: List String): IO Unit := do
   -- NOTE: A more sophisticated scheme of command line argument handling is needed.
   -- Separate imports and options
   if args == ["--version"] then do
-    println! s!"{version}"
+    IO.println s!"{Pantograph.version}"
     return
 
-  initSearch ""
+  Pantograph.initSearch ""
 
   let coreContext ← args.filterMap (λ s => if s.startsWith "--" then .some <| s.drop 2 else .none)
-    |>.toArray |> createCoreContext
+    |>.toArray |> Pantograph.createCoreContext
   let imports:= args.filter (λ s => ¬ (s.startsWith "--"))
-  let coreState ← createCoreState imports.toArray
+  let coreState ← Pantograph.createCoreState imports.toArray
   let context: Context := {
     imports
   }
@@ -62,5 +67,6 @@ unsafe def main (args: List String): IO Unit := do
     IO.println "ready."
     discard <| coreM.toIO coreContext coreState
   catch ex =>
-    IO.println "Uncaught IO exception"
-    IO.println ex.toString
+    let message := ex.toString
+    let error  := Lean.toJson ({ error := "io", desc := message }: InteractionError)
+    IO.println error.compress

Makefile

@@ -1,20 +0,0 @@
-LIB := ./.lake/build/lib/Pantograph.olean
-EXE := ./.lake/build/bin/pantograph
-SOURCE := $(wildcard Pantograph/*.lean) $(wildcard *.lean) lean-toolchain
-
-TEST_EXE := ./.lake/build/bin/test
-TEST_SOURCE := $(wildcard Test/*.lean)
-
-$(LIB) $(EXE): $(SOURCE)
-	lake build pantograph
-
-$(TEST_EXE): $(LIB) $(TEST_SOURCE)
-	lake build test
-
-test: $(TEST_EXE)
-	$(TEST_EXE)
-
-clean:
-	lake clean
-
-.PHONY: test clean

Pantograph.lean

@@ -1,184 +1,8 @@
+import Pantograph.Condensed
+import Pantograph.Environment
+import Pantograph.Frontend
 import Pantograph.Goal
+import Pantograph.Library
 import Pantograph.Protocol
 import Pantograph.Serial
-import Pantograph.Environment
-import Pantograph.Library
-import Lean.Data.HashMap
-
-namespace Pantograph
-
-structure Context where
-  imports: List String
-
-/-- Stores state of the REPL -/
-structure State where
-  options: Protocol.Options := {}
-  nextId: Nat := 0
-  goalStates: Lean.HashMap Nat GoalState := Lean.HashMap.empty
-
-/-- Main state monad for executing commands -/
-abbrev MainM := ReaderT Context (StateT State Lean.CoreM)
--- HACK: For some reason writing `CommandM α := MainM (Except ... α)` disables
--- certain monadic features in `MainM`
-abbrev CR α := Except Protocol.InteractionError α
-
-def execute (command: Protocol.Command): MainM Lean.Json := do
-  let run { α β: Type } [Lean.FromJson α] [Lean.ToJson β] (comm: α → MainM (CR β)): MainM Lean.Json :=
-    match Lean.fromJson? command.payload with
-    | .ok args => do
-      match (← comm args) with
-      | .ok result =>  return Lean.toJson result
-      | .error ierror => return Lean.toJson ierror
-    | .error error => return Lean.toJson $ errorCommand s!"Unable to parse json: {error}"
-  match command.cmd with
-  | "reset"         => run reset
-  | "stat"          => run stat
-  | "expr.echo"     => run expr_echo
-  | "env.catalog"   => run env_catalog
-  | "env.inspect"   => run env_inspect
-  | "env.add"       => run env_add
-  | "options.set"   => run options_set
-  | "options.print" => run options_print
-  | "goal.start"    => run goal_start
-  | "goal.tactic"   => run goal_tactic
-  | "goal.continue" => run goal_continue
-  | "goal.delete"   => run goal_delete
-  | "goal.print"    => run goal_print
-  | cmd =>
-    let error: Protocol.InteractionError :=
-      errorCommand s!"Unknown command {cmd}"
-    return Lean.toJson error
-  where
-  errorCommand := errorI "command"
-  errorIndex := errorI "index"
-  -- Command Functions
-  reset (_: Protocol.Reset): MainM (CR Protocol.StatResult) := do
-    let state ← get
-    let nGoals := state.goalStates.size
-    set { state with nextId := 0, goalStates := Lean.HashMap.empty }
-    return .ok { nGoals }
-  stat (_: Protocol.Stat): MainM (CR Protocol.StatResult) := do
-    let state ← get
-    let nGoals := state.goalStates.size
-    return .ok { nGoals }
-  env_catalog (args: Protocol.EnvCatalog): MainM (CR Protocol.EnvCatalogResult) := do
-    let result ← Environment.catalog args
-    return .ok result
-  env_inspect (args: Protocol.EnvInspect): MainM (CR Protocol.EnvInspectResult) := do
-    let state ← get
-    Environment.inspect args state.options
-  env_add (args: Protocol.EnvAdd): MainM (CR Protocol.EnvAddResult) := do
-    Environment.addDecl args
-  expr_echo (args: Protocol.ExprEcho): MainM (CR Protocol.ExprEchoResult) := do
-    let state ← get
-    exprEcho args.expr state.options
-  options_set (args: Protocol.OptionsSet): MainM (CR Protocol.OptionsSetResult) := do
-    let state ← get
-    let options := state.options
-    set { state with
-      options := {
-        -- FIXME: This should be replaced with something more elegant
-        printJsonPretty := args.printJsonPretty?.getD options.printJsonPretty,
-        printExprPretty := args.printExprPretty?.getD options.printExprPretty,
-        printExprAST := args.printExprAST?.getD options.printExprAST,
-        noRepeat := args.noRepeat?.getD options.noRepeat,
-        printAuxDecls := args.printAuxDecls?.getD options.printAuxDecls,
-        printImplementationDetailHyps := args.printImplementationDetailHyps?.getD options.printImplementationDetailHyps
-      }
-    }
-    return .ok {  }
-  options_print (_: Protocol.OptionsPrint): MainM (CR Protocol.OptionsPrintResult) := do
-    return .ok (← get).options
-  goal_start (args: Protocol.GoalStart): MainM (CR Protocol.GoalStartResult) := do
-    let state ← get
-    let env ← Lean.MonadEnv.getEnv
-    let expr?: Except _ GoalState ← runTermElabM (match args.expr, args.copyFrom with
-      | .some expr, .none => do
-        let expr ← match ← exprParse expr with
-          | .error e => return .error e
-          | .ok expr => pure $ expr
-        return .ok $ ← GoalState.create expr
-      | .none, .some copyFrom =>
-        (match env.find? <| copyFrom.toName with
-        | .none => return .error <| errorIndex s!"Symbol not found: {copyFrom}"
-        | .some cInfo => return .ok (← GoalState.create cInfo.type))
-      | _, _ =>
-        return .error <| errorI "arguments" "Exactly one of {expr, copyFrom} must be supplied")
-    match expr? with
-    | .error error => return .error error
-    | .ok goalState =>
-      let stateId := state.nextId
-      set { state with
-        goalStates := state.goalStates.insert stateId goalState,
-        nextId := state.nextId + 1
-      }
-      return .ok { stateId, root := goalState.root.name.toString }
-  goal_tactic (args: Protocol.GoalTactic): MainM (CR Protocol.GoalTacticResult) := do
-    let state ← get
-    match state.goalStates.find? args.stateId with
-    | .none => return .error $ errorIndex s!"Invalid state index {args.stateId}"
-    | .some goalState => do
-      let nextGoalState?: Except _ GoalState ← match args.tactic?, args.expr? with
-        | .some tactic, .none => do
-          pure ( Except.ok (← goalTactic goalState args.goalId tactic))
-        | .none, .some expr => do
-          pure ( Except.ok (← goalTryAssign goalState args.goalId expr))
-        | _, _ => pure (Except.error <| errorI "arguments" "Exactly one of {tactic, expr} must be supplied")
-      match nextGoalState? with
-      | .error error => return .error error
-      | .ok (.success nextGoalState) =>
-        let nextStateId := state.nextId
-        set { state with
-          goalStates := state.goalStates.insert state.nextId nextGoalState,
-          nextId := state.nextId + 1,
-        }
-        let goals ← nextGoalState.serializeGoals (parent := .some goalState) (options := state.options) |>.run'
-        return .ok {
-          nextStateId? := .some nextStateId,
-          goals? := .some goals,
-        }
-      | .ok (.parseError message) =>
-        return .ok { parseError? := .some message }
-      | .ok (.indexError goalId) =>
-        return .error $ errorIndex s!"Invalid goal id index {goalId}"
-      | .ok (.failure messages) =>
-        return .ok { tacticErrors? := .some messages }
-  goal_continue (args: Protocol.GoalContinue): MainM (CR Protocol.GoalContinueResult) := do
-    let state ← get
-    match state.goalStates.find? args.target with
-    | .none => return .error $ errorIndex s!"Invalid state index {args.target}"
-    | .some target => do
-      let nextState? ← match args.branch?, args.goals? with
-        | .some branchId, .none => do
-          match state.goalStates.find? branchId with
-          | .none => return .error $ errorIndex s!"Invalid state index {branchId}"
-          | .some branch => pure $ target.continue branch
-        | .none, .some goals =>
-          pure $ goalResume target goals
-        | _, _ => return .error <| errorI "arguments" "Exactly one of {branch, goals} must be supplied"
-      match nextState? with
-      | .error error => return .error <| errorI "structure" error
-      | .ok nextGoalState =>
-        let nextStateId := state.nextId
-        set { state with
-          goalStates := state.goalStates.insert nextStateId nextGoalState,
-          nextId := state.nextId + 1
-        }
-        let goals ← goalSerialize nextGoalState (options := state.options)
-        return .ok {
-          nextStateId,
-          goals,
-        }
-  goal_delete (args: Protocol.GoalDelete): MainM (CR Protocol.GoalDeleteResult) := do
-    let state ← get
-    let goalStates := args.stateIds.foldl (λ map id => map.erase id) state.goalStates
-    set { state with goalStates }
-    return .ok {}
-  goal_print (args: Protocol.GoalPrint): MainM (CR Protocol.GoalPrintResult) := do
-    let state ← get
-    match state.goalStates.find? args.stateId with
-    | .none => return .error $ errorIndex s!"Invalid state index {args.stateId}"
-    | .some goalState => runMetaM <| do
-      return .ok (← goalPrint goalState state.options)
-
-end Pantograph
+import Pantograph.Version

Pantograph/Condensed.lean

@@ -0,0 +1,95 @@
+/- structures for FFI based interface -/
+import Lean
+import Pantograph.Goal
+import Pantograph.Expr
+
+open Lean
+
+namespace Pantograph
+namespace Condensed
+
+-- Mirrors Lean's LocalDecl
+structure LocalDecl where
+  -- Default value is for testing
+  fvarId: FVarId := { name := .anonymous }
+  userName: Name
+
+  -- Normalized expression
+  type : Expr
+  value? : Option Expr := .none
+
+structure Goal where
+  mvarId: MVarId := { name := .anonymous }
+  userName: Name := .anonymous
+  context: Array LocalDecl
+  target: Expr
+
+@[export pantograph_goal_is_lhs]
+def isLHS (g: Goal) : Bool := isLHSGoal? g.target |>.isSome
+
+-- Functions for creating contexts and states
+@[export pantograph_elab_context]
+def elabContext: Elab.Term.Context := {
+    errToSorry := false
+  }
+
+end Condensed
+
+-- Get the list of visible (by default) free variables from a goal
+@[export pantograph_visible_fvars_of_mvar]
+protected def visibleFVarsOfMVar (mctx: MetavarContext) (mvarId: MVarId): Option (Array FVarId) := do
+  let mvarDecl ← mctx.findDecl? mvarId
+  let lctx := mvarDecl.lctx
+  return lctx.decls.foldl (init := #[]) fun r decl? => match decl? with
+    | some decl => if decl.isAuxDecl ∨ decl.isImplementationDetail then r else r.push decl.fvarId
+    | none      => r
+
+@[export pantograph_to_condensed_goal_m]
+def toCondensedGoal (mvarId: MVarId): MetaM Condensed.Goal := do
+  let ppAuxDecls     := Meta.pp.auxDecls.get (← getOptions)
+  let ppImplDetailHyps := Meta.pp.implementationDetailHyps.get (← getOptions)
+  let mvarDecl ← mvarId.getDecl
+  let lctx     := mvarDecl.lctx
+  let lctx     := lctx.sanitizeNames.run' { options := (← getOptions) }
+  Meta.withLCtx lctx mvarDecl.localInstances do
+    let ppVar (localDecl : LocalDecl) : MetaM Condensed.LocalDecl := do
+      match localDecl with
+      | .cdecl _ fvarId userName type _ _ =>
+        let type ← instantiate type
+        return { fvarId, userName, type }
+      | .ldecl _ fvarId userName type value _ _ => do
+        let userName := userName.simpMacroScopes
+        let type ← instantiate type
+        let value ← instantiate value
+        return { fvarId, userName, type, value? := .some value }
+    let vars ← lctx.foldlM (init := []) fun acc (localDecl : LocalDecl) => do
+      let skip := !ppAuxDecls && localDecl.isAuxDecl ||
+        !ppImplDetailHyps && localDecl.isImplementationDetail
+      if skip then
+        return acc
+      else
+        let var ← ppVar localDecl
+        return var::acc
+    return {
+        mvarId,
+        userName := mvarDecl.userName,
+        context := vars.reverse.toArray,
+        target := ← instantiate mvarDecl.type
+    }
+  where
+  instantiate := instantiateAll
+
+@[export pantograph_goal_state_to_condensed_m]
+protected def GoalState.toCondensed (state: GoalState):
+    CoreM (Array Condensed.Goal):= do
+  let metaM := do
+    let goals := state.goals.toArray
+    goals.mapM fun goal => do
+      match state.mctx.findDecl? goal with
+      | .some _ =>
+        let serializedGoal ← toCondensedGoal goal
+        pure serializedGoal
+      | .none => throwError s!"Metavariable does not exist in context {goal.name}"
+  metaM.run' (s := state.savedState.term.meta.meta)
+
+end Pantograph

Pantograph/Environment.lean

@@ -7,15 +7,24 @@ open Pantograph
 
 namespace Pantograph.Environment
 
-def isNameInternal (n: Lean.Name): Bool :=
+@[export pantograph_is_name_internal]
+def isNameInternal (n: Name): Bool :=
   -- Returns true if the name is an implementation detail which should not be shown to the user.
-  isLeanSymbol n ∨ (Lean.privateToUserName? n |>.map isLeanSymbol |>.getD false) ∨ n.isAuxLemma ∨ n.hasMacroScopes
-  where
-  isLeanSymbol (name: Lean.Name): Bool := match name.getRoot with
-    | .str _ name => name == "Lean"
-    | _ => true
+  n.isAuxLemma ∨ n.hasMacroScopes
 
-def toCompactSymbolName (n: Lean.Name) (info: Lean.ConstantInfo): String :=
+/-- Catalog all the non-internal and safe names -/
+@[export pantograph_environment_catalog]
+def env_catalog (env: Environment): Array Name := env.constants.fold (init := #[]) (λ acc name _ =>
+  match isNameInternal name with
+  | false => acc.push name
+  | true => acc)
+
+@[export pantograph_environment_module_of_name]
+def module_of_name (env: Environment) (name: Name): Option Name := do
+  let moduleId ←  env.getModuleIdxFor? name
+  return env.allImportedModuleNames.get! moduleId.toNat
+
+def toCompactSymbolName (n: Name) (info: ConstantInfo): String :=
   let pref := match info with
   | .axiomInfo  _ => "a"
   | .defnInfo   _ => "d"
@@ -52,25 +61,26 @@ def inspect (args: Protocol.EnvInspect) (options: @&Protocol.Options): CoreM (Pr
     | .some false, _ => .none
     | .none, .defnInfo _ => info.value?
     | .none, _ => .none
+  let type ← unfoldAuxLemmas info.type
+  let value? ← value?.mapM (λ v => unfoldAuxLemmas v)
   -- Information common to all symbols
   let core := {
-    type := ← (serialize_expression options info.type).run',
+    type := ← (serializeExpression options type).run',
     isUnsafe := info.isUnsafe,
-    value? := ← value?.mapM (λ v => serialize_expression options v |>.run'),
+    value? := ← value?.mapM (λ v => serializeExpression options v |>.run'),
     publicName? := Lean.privateToUserName? name |>.map (·.toString),
     -- BUG: Warning: getUsedConstants here will not include projections. This is a known bug.
     typeDependency? := if args.dependency?.getD false
-      then .some <| info.type.getUsedConstants.map (λ n => name_to_ast n)
+      then .some <| type.getUsedConstants.map (λ n => serializeName n)
+      else .none,
+    valueDependency? := if args.dependency?.getD false
+      then value?.map (λ e =>
+        e.getUsedConstants.filter (!isNameInternal ·) |>.map (λ n => serializeName n) )
       else .none,
-    valueDependency? := ← if args.dependency?.getD false
-      then info.value?.mapM (λ e => do
-        let e ← (unfoldAuxLemmas e).run'
-        pure $ e.getUsedConstants.filter (!isNameInternal ·) |>.map (λ n => name_to_ast n) )
-      else pure (.none),
     module? := module?
   }
-  let result := match info with
-    | .inductInfo induct => { core with inductInfo? := .some {
+  let result ← match info with
+    | .inductInfo induct => pure { core with inductInfo? := .some {
           numParams := induct.numParams,
           numIndices := induct.numIndices,
           all := induct.all.toArray.map (·.toString),
@@ -79,32 +89,38 @@ def inspect (args: Protocol.EnvInspect) (options: @&Protocol.Options): CoreM (Pr
           isReflexive := induct.isReflexive,
           isNested := induct.isNested,
       } }
-    | .ctorInfo ctor => { core with constructorInfo? := .some {
+    | .ctorInfo ctor => pure { core with constructorInfo? := .some {
           induct := ctor.induct.toString,
           cidx := ctor.cidx,
           numParams := ctor.numParams,
           numFields := ctor.numFields,
       } }
-    | .recInfo r => { core with recursorInfo? := .some {
+    | .recInfo r => pure { core with recursorInfo? := .some {
           all := r.all.toArray.map (·.toString),
           numParams := r.numParams,
           numIndices := r.numIndices,
           numMotives := r.numMotives,
           numMinors := r.numMinors,
+          rules := ← r.rules.toArray.mapM (λ rule => do
+              pure {
+                ctor := rule.ctor.toString,
+                nFields := rule.nfields,
+                rhs := ← (serializeExpression options rule.rhs).run',
+              })
           k := r.k,
       } }
-    | _ => core
+    | _ => pure core
   return .ok result
 def addDecl (args: Protocol.EnvAdd): CoreM (Protocol.CR Protocol.EnvAddResult) := do
   let env ← Lean.MonadEnv.getEnv
   let tvM: Elab.TermElabM (Except String (Expr × Expr)) := do
-    let type ← match syntax_from_str env args.type with
+    let type ← match parseTerm env args.type with
       | .ok syn => do
-        match ← syntax_to_expr syn with
+        match ← elabTerm syn with
         | .error e => return .error e
         | .ok expr => pure expr
       | .error e => return .error e
-    let value ← match syntax_from_str env args.value with
+    let value ← match parseTerm env args.value with
       | .ok syn => do
         try
           let expr ← Elab.Term.elabTerm (stx := syn) (expectedType? := .some type)
@@ -125,7 +141,7 @@ def addDecl (args: Protocol.EnvAdd): CoreM (Protocol.CR Protocol.EnvAddResult) :
     (hints := Lean.mkReducibilityHintsRegularEx 1)
     (safety := Lean.DefinitionSafety.safe)
     (all := [])
-  let env' ← match env.addDecl constant with
+  let env' ← match env.addDecl (← getOptions) constant with
     | .error e => do
       let options ← Lean.MonadOptions.getOptions
       let desc ← (e.toMessageData options).toString

Pantograph/Expr.lean

@@ -0,0 +1,162 @@
+import Lean
+import Std.Data.HashMap
+
+open Lean
+
+namespace Pantograph
+
+structure ProjectionApplication where
+  projector: Name
+  numParams: Nat
+  inner: Expr
+
+@[export pantograph_expr_proj_to_app]
+def exprProjToApp (env: Environment) (e: Expr): ProjectionApplication :=
+  let (typeName, idx, inner) := match e with
+    | .proj typeName idx inner => (typeName, idx, inner)
+    | _ => panic! "Argument must be proj"
+  let ctor := getStructureCtor env typeName
+  let fieldName := getStructureFields env typeName |>.get! idx
+  let projector := getProjFnForField? env typeName fieldName |>.get!
+  {
+    projector,
+    numParams := ctor.numParams,
+    inner,
+  }
+
+def _root_.Lean.Name.isAuxLemma (n : Lean.Name) : Bool := n matches .num (.str _ "_auxLemma") _
+
+/-- Unfold all lemmas created by `Lean.Meta.mkAuxLemma`. These end in `_auxLemma.nn` where `nn` is a number. -/
+@[export pantograph_unfold_aux_lemmas]
+def unfoldAuxLemmas (e : Expr) : CoreM Expr := do
+  Lean.Meta.deltaExpand e Lean.Name.isAuxLemma
+
+/--
+Force the instantiation of delayed metavariables even if they cannot be fully
+instantiated. This is used during resumption to provide diagnostic data about
+the current goal.
+
+Since Lean 4 does not have an `Expr` constructor corresponding to delayed
+metavariables, any delayed metavariables must be recursively handled by this
+function to ensure that nested delayed metavariables can be properly processed.
+The caveat is this recursive call will lead to infinite recursion if a loop
+between metavariable assignment exists.
+
+This function ensures any metavariable in the result is either
+1. Delayed assigned with its pending mvar not assigned in any form
+2. Not assigned (delay or not)
+ -/
+partial def instantiateDelayedMVars (eOrig: Expr) : MetaM Expr := do
+  --let padding := String.join $ List.replicate level "│ "
+  --IO.println s!"{padding}Starting {toString eOrig}"
+  let mut result ← Meta.transform (← instantiateMVars eOrig)
+    (pre := fun e => e.withApp fun f args => do
+      let .mvar mvarId := f | return .continue
+      --IO.println s!"{padding}├V {e}"
+      let mvarDecl ← mvarId.getDecl
+
+      -- This is critical to maintaining the interdependency of metavariables.
+      -- Without setting `.syntheticOpaque`, Lean's metavariable elimination
+      -- system will not make the necessary delayed assigned mvars in case of
+      -- nested mvars.
+      mvarId.setKind .syntheticOpaque
+
+      mvarId.withContext do
+        let lctx ← MonadLCtx.getLCtx
+        if mvarDecl.lctx.any (λ decl => !lctx.contains decl.fvarId) then
+          let violations := mvarDecl.lctx.decls.foldl (λ acc decl? => match decl? with
+            | .some decl => if lctx.contains decl.fvarId then acc else acc ++ [decl.fvarId.name]
+            | .none => acc) []
+          panic! s!"In the context of {mvarId.name}, there are local context variable violations: {violations}"
+
+        if let .some assign ← getExprMVarAssignment? mvarId then
+          --IO.println s!"{padding}├A ?{mvarId.name}"
+          assert! !(← mvarId.isDelayedAssigned)
+          return .visit (mkAppN assign args)
+        else if let some { fvars, mvarIdPending } ← getDelayedMVarAssignment? mvarId then
+          --let substTableStr := String.intercalate ", " $ Array.zipWith fvars args (λ fvar assign => s!"{fvar.fvarId!.name} := {assign}") |>.toList
+          --IO.println s!"{padding}├MD ?{mvarId.name} := ?{mvarIdPending.name} [{substTableStr}]"
+
+          if args.size < fvars.size then
+            throwError "Not enough arguments to instantiate a delay assigned mvar. This is due to bad implementations of a tactic: {args.size} < {fvars.size}. Expr: {toString e}; Origin: {toString eOrig}"
+          --if !args.isEmpty then
+            --IO.println s!"{padding}├── Arguments Begin"
+          let args ← args.mapM self
+          --if !args.isEmpty then
+            --IO.println s!"{padding}├── Arguments End"
+          if !(← mvarIdPending.isAssignedOrDelayedAssigned) then
+            --IO.println s!"{padding}├T1"
+            let result := mkAppN f args
+            return .done result
+
+          let pending ← mvarIdPending.withContext do
+            let inner ← instantiateDelayedMVars (.mvar mvarIdPending) --(level := level + 1)
+            --IO.println s!"{padding}├Pre: {inner}"
+            pure <| (← inner.abstractM fvars).instantiateRev args
+
+          -- Tail arguments
+          let result := mkAppRange pending fvars.size args.size args
+          --IO.println s!"{padding}├MD {result}"
+          return .done result
+        else
+          assert! !(← mvarId.isAssigned)
+          assert! !(← mvarId.isDelayedAssigned)
+          --if !args.isEmpty then
+          --  IO.println s!"{padding}├── Arguments Begin"
+          let args ← args.mapM self
+          --if !args.isEmpty then
+          --  IO.println s!"{padding}├── Arguments End"
+
+          --IO.println s!"{padding}├M ?{mvarId.name}"
+          return .done (mkAppN f args))
+  --IO.println s!"{padding}└Result {result}"
+  return result
+  where
+  self e := instantiateDelayedMVars e --(level := level + 1)
+
+/--
+Convert an expression to an equiavlent form with
+1. No nested delayed assigned mvars
+2. No aux lemmas
+3. No assigned mvars
+ -/
+@[export pantograph_instantiate_all_m]
+def instantiateAll (e: Expr): MetaM Expr := do
+  let e ← instantiateDelayedMVars e
+  let e ← unfoldAuxLemmas e
+  return e
+
+structure DelayedMVarInvocation where
+  mvarIdPending: MVarId
+  args: Array (FVarId × (Option Expr))
+  -- Extra arguments applied to the result of this substitution
+  tail: Array Expr
+
+-- The pending mvar of any delayed assigned mvar must not be assigned in any way.
+@[export pantograph_to_delayed_mvar_invocation_m]
+def toDelayedMVarInvocation (e: Expr): MetaM (Option DelayedMVarInvocation) := do
+  let .mvar mvarId := e.getAppFn | return .none
+  let .some decl ← getDelayedMVarAssignment? mvarId | return .none
+  let mvarIdPending := decl.mvarIdPending
+  let mvarDecl ← mvarIdPending.getDecl
+  -- Print the function application e. See Lean's `withOverApp`
+  let args := e.getAppArgs
+
+  assert! args.size ≥ decl.fvars.size
+  assert! !(← mvarIdPending.isAssigned)
+  assert! !(← mvarIdPending.isDelayedAssigned)
+  let fvarArgMap: Std.HashMap FVarId Expr := Std.HashMap.ofList $ (decl.fvars.map (·.fvarId!) |>.zip args).toList
+  let subst ← mvarDecl.lctx.foldlM (init := []) λ acc localDecl => do
+    let fvarId := localDecl.fvarId
+    let a := fvarArgMap[fvarId]?
+    return acc ++ [(fvarId, a)]
+
+  assert! decl.fvars.all (λ fvar => mvarDecl.lctx.findFVar? fvar |>.isSome)
+
+  return .some {
+    mvarIdPending,
+    args := subst.toArray,
+    tail := args.toList.drop decl.fvars.size |>.toArray,
+  }
+
+end Pantograph

Pantograph/Frontend.lean

@@ -0,0 +1,4 @@
+/- Adapted from lean-training-data by semorrison -/
+import Pantograph.Frontend.Basic
+import Pantograph.Frontend.Elab
+import Pantograph.Frontend.MetaTranslate

Pantograph/Frontend/Basic.lean

@@ -0,0 +1,120 @@
+import Lean.Parser
+import Lean.Elab.Frontend
+
+open Lean
+
+namespace Lean.FileMap
+
+/-- Extract the range of a `Syntax` expressed as lines and columns. -/
+-- Extracted from the private declaration `Lean.Elab.formatStxRange`,
+-- in `Lean.Elab.InfoTree.Main`.
+@[export pantograph_frontend_stx_range]
+protected def stxRange (fileMap : FileMap) (stx : Syntax) : Position × Position :=
+  let pos    := stx.getPos?.getD 0
+  let endPos := stx.getTailPos?.getD pos
+  (fileMap.toPosition pos, fileMap.toPosition endPos)
+
+end Lean.FileMap
+namespace Lean.PersistentArray
+
+/--
+Drop the first `n` elements of a `PersistentArray`, returning the results as a `List`.
+-/
+-- We can't remove the `[Inhabited α]` hypotheses here until
+-- `PersistentArray`'s `GetElem` instance also does.
+protected def drop [Inhabited α] (t : PersistentArray α) (n : Nat) : List α :=
+  List.range (t.size - n) |>.map fun i => t.get! (n + i)
+
+end Lean.PersistentArray
+
+
+namespace Pantograph.Frontend
+
+abbrev FrontendM := Elab.Frontend.FrontendM
+
+structure CompilationStep where
+  fileName : String
+  fileMap : FileMap
+  src : Substring
+  stx : Syntax
+  before : Environment
+  after : Environment
+  msgs : List Message
+  trees : List Elab.InfoTree
+
+namespace CompilationStep
+
+@[export pantograph_frontend_compilation_step_message_strings_m]
+def messageStrings (step: CompilationStep) : IO (Array String) := do
+  List.toArray <$> step.msgs.mapM (·.toString)
+
+end CompilationStep
+
+
+/--
+Process one command, returning a `CompilationStep` and
+`done : Bool`, indicating whether this was the last command.
+-/
+@[export pantograph_frontend_process_one_command_m]
+def processOneCommand: FrontendM (CompilationStep × Bool) := do
+  let s := (← get).commandState
+  let before := s.env
+  let done ← Elab.Frontend.processCommand
+  let stx := (← get).commands.back
+  let src := (← read).inputCtx.input.toSubstring.extract (← get).cmdPos (← get).parserState.pos
+  let s' := (← get).commandState
+  let after := s'.env
+  let msgs := s'.messages.toList.drop s.messages.toList.length
+  let trees := s'.infoState.trees.drop s.infoState.trees.size
+  let ⟨_, fileName, fileMap⟩  := (← read).inputCtx
+  return ({ fileName, fileMap, src, stx, before, after, msgs, trees }, done)
+
+partial def mapCompilationSteps { α } (f: CompilationStep → IO α) : FrontendM (List α) := do
+  let (cmd, done) ← processOneCommand
+  if done then
+    if cmd.src.isEmpty then
+      return []
+    else
+      return [← f cmd]
+  else
+    return (← f cmd) :: (← mapCompilationSteps f)
+
+
+@[export pantograph_frontend_find_source_path_m]
+def findSourcePath (module : Name) : IO System.FilePath := do
+  return System.FilePath.mk ((← findOLean module).toString.replace ".lake/build/lib/" "") |>.withExtension "lean"
+
+/--
+Use with
+```lean
+let m: FrontendM α := ...
+let (context, state) ← createContextStateFromFile ...
+m.run context |>.run' state
+```
+-/
+@[export pantograph_frontend_create_context_state_from_file_m]
+def createContextStateFromFile
+    (file : String) -- Content of the file
+    (fileName : String := "<anonymous>")
+    (env? : Option Lean.Environment := .none) -- If set to true, assume there's no header.
+    (opts : Options := {})
+    : IO (Elab.Frontend.Context × Elab.Frontend.State) := unsafe do
+  --let file ← IO.FS.readFile (← findSourcePath module)
+  let inputCtx := Parser.mkInputContext file fileName
+
+  let (env, parserState, messages) ← match env? with
+    | .some env => pure (env, {}, .empty)
+    | .none =>
+      let (header, parserState, messages) ← Parser.parseHeader inputCtx
+      let (env, messages) ← Elab.processHeader header opts messages inputCtx
+      pure (env, parserState, messages)
+  let commandState := Elab.Command.mkState env messages opts
+  let context: Elab.Frontend.Context := { inputCtx }
+  let state: Elab.Frontend.State := {
+    commandState := { commandState with infoState.enabled := true },
+    parserState,
+    cmdPos := parserState.pos
+  }
+  return (context, state)
+
+end Pantograph.Frontend

Pantograph/Frontend/Elab.lean

@@ -0,0 +1,223 @@
+/- Adapted from https://github.com/semorrison/lean-training-data -/
+import Lean.Elab.Import
+import Lean.Elab.Command
+import Lean.Elab.InfoTree
+
+import Pantograph.Frontend.Basic
+import Pantograph.Frontend.MetaTranslate
+import Pantograph.Goal
+import Pantograph.Protocol
+
+open Lean
+
+namespace Lean.Elab.Info
+/-- The `Syntax` for a `Lean.Elab.Info`, if there is one. -/
+protected def stx? : Info → Option Syntax
+  | .ofTacticInfo         info => info.stx
+  | .ofTermInfo           info => info.stx
+  | .ofCommandInfo        info => info.stx
+  | .ofMacroExpansionInfo info => info.stx
+  | .ofOptionInfo         info => info.stx
+  | .ofFieldInfo          info => info.stx
+  | .ofCompletionInfo     info => info.stx
+  | .ofUserWidgetInfo     info => info.stx
+  | .ofCustomInfo         info => info.stx
+  | .ofFVarAliasInfo      _    => none
+  | .ofFieldRedeclInfo    info => info.stx
+  | .ofOmissionInfo       info => info.stx
+/-- Is the `Syntax` for this `Lean.Elab.Info` original, or synthetic? -/
+protected def isOriginal (i : Info) : Bool :=
+  match i.stx? with
+  | none => true   -- Somewhat unclear what to do with `FVarAliasInfo`, so be conservative.
+  | some stx => match stx.getHeadInfo with
+    | .original .. => true
+    | _ => false
+end Lean.Elab.Info
+
+namespace Lean.Elab.TacticInfo
+
+/-- Find the name for the outermost `Syntax` in this `TacticInfo`. -/
+def name? (t : TacticInfo) : Option Name :=
+  match t.stx with
+  | Syntax.node _ n _ => some n
+  | _ => none
+/-- Decide whether a tactic is "substantive",
+or is merely a tactic combinator (e.g. `by`, `;`, multiline tactics, parenthesized tactics). -/
+def isSubstantive (t : TacticInfo) : Bool :=
+  match t.name? with
+  | none => false
+  | some `null => false
+  | some ``cdot => false
+  | some ``cdotTk => false
+  | some ``Lean.Parser.Term.byTactic => false
+  | some ``Lean.Parser.Tactic.tacticSeq => false
+  | some ``Lean.Parser.Tactic.tacticSeq1Indented => false
+  | some ``Lean.Parser.Tactic.«tactic_<;>_» => false
+  | some ``Lean.Parser.Tactic.paren => false
+  | _ => true
+
+end Lean.Elab.TacticInfo
+
+namespace Lean.Elab.InfoTree
+
+/--
+Keep `.node` nodes and `.hole` nodes satisfying predicates.
+
+Returns a `List InfoTree`, although in most situations this will be a singleton.
+-/
+partial def filter (p : Info → Bool) (m : MVarId → Bool := fun _ => false) :
+    InfoTree → List InfoTree
+  | .context ctx tree => tree.filter p m |>.map (.context ctx)
+  | .node info children =>
+    if p info then
+      [.node info (children.toList.map (filter p m)).join.toPArray']
+    else
+      (children.toList.map (filter p m)).join
+  | .hole mvar => if m mvar then [.hole mvar] else []
+
+end Lean.Elab.InfoTree
+
+
+namespace Pantograph.Frontend
+
+-- Info tree filtering functions
+
+structure TacticInvocation where
+  info : Elab.TacticInfo
+  ctx : Elab.ContextInfo
+  children : PersistentArray Elab.InfoTree
+namespace TacticInvocation
+
+/-- Return the range of the tactic, as a pair of file positions. -/
+@[export pantograph_frontend_tactic_invocation_range]
+protected def range (t : TacticInvocation) : Position × Position := t.ctx.fileMap.stxRange t.info.stx
+
+/-- Pretty print a tactic. -/
+protected def pp (t : TacticInvocation) : IO Format :=
+  t.ctx.runMetaM {} try
+    Lean.PrettyPrinter.ppTactic ⟨t.info.stx⟩
+  catch _ =>
+    pure "<failed to pretty print>"
+
+/-- Run a tactic on the goals stored in a `TacticInvocation`. -/
+protected def runMetaMGoalsBefore (t : TacticInvocation) (x : List MVarId → MetaM α) : IO α := do
+  t.ctx.runMetaM {} <| Meta.withMCtx t.info.mctxBefore <| x t.info.goalsBefore
+
+/-- Run a tactic on the after goals stored in a `TacticInvocation`. -/
+protected def runMetaMGoalsAfter (t : TacticInvocation) (x : List MVarId → MetaM α) : IO α := do
+  t.ctx.runMetaM {} <| Meta.withMCtx t.info.mctxAfter <| x t.info.goalsAfter
+
+/-- Run a tactic on the main goal stored in a `TacticInvocation`. -/
+protected def runMetaM (t : TacticInvocation) (x : MVarId → MetaM α) : IO α := do
+  match t.info.goalsBefore.head? with
+  | none => throw <| IO.userError s!"No goals at {← t.pp}"
+  | some g => t.runMetaMGoalsBefore fun _ => do g.withContext <| x g
+
+protected def goalState (t : TacticInvocation) : IO (List Format) := do
+  t.runMetaMGoalsBefore (fun gs => gs.mapM fun g => do Meta.ppGoal g)
+
+protected def goalStateAfter (t : TacticInvocation) : IO (List Format) := do
+  t.runMetaMGoalsAfter (fun gs => gs.mapM fun g => do Meta.ppGoal g)
+
+protected def ppExpr (t : TacticInvocation) (e : Expr) : IO Format :=
+  t.runMetaM (fun _ => do Meta.ppExpr (← instantiateMVars e))
+
+protected def usedConstants (t: TacticInvocation) : NameSet :=
+  let info := t.info
+  info.goalsBefore
+    |>.filterMap info.mctxAfter.getExprAssignmentCore?
+    |>.map Expr.getUsedConstantsAsSet
+    |>.foldl .union .empty
+
+end TacticInvocation
+
+/-- Analogue of `Lean.Elab.InfoTree.findInfo?`, but that returns a list of all results. -/
+partial def findAllInfo (t : Elab.InfoTree) (context?: Option Elab.ContextInfo) (pred : Elab.Info → Bool) :
+    List (Elab.Info × Option Elab.ContextInfo × PersistentArray Elab.InfoTree) :=
+  match t with
+  | .context inner t => findAllInfo t (inner.mergeIntoOuter? context?) pred
+  | .node i children  =>
+      (if pred i then [(i, context?, children)] else []) ++ children.toList.bind (fun t => findAllInfo t context? pred)
+  | _ => []
+
+/-- Return all `TacticInfo` nodes in an `InfoTree` corresponding to tactics,
+each equipped with its relevant `ContextInfo`, and any children info trees. -/
+private def collectTacticNodes (t : Elab.InfoTree) : List TacticInvocation :=
+  let infos := findAllInfo t none fun i => match i with
+    | .ofTacticInfo _ => true
+    | _ => false
+  infos.filterMap fun p => match p with
+    | (.ofTacticInfo i, some ctx, children) => .some ⟨i, ctx, children⟩
+    | _ => none
+
+def collectTactics (t : Elab.InfoTree) : List TacticInvocation :=
+  collectTacticNodes t |>.filter fun i => i.info.isSubstantive
+
+@[export pantograph_frontend_collect_tactics_from_compilation_step_m]
+def collectTacticsFromCompilationStep (step : CompilationStep) : IO (List Protocol.InvokedTactic) := do
+  let tacticInfoTrees := step.trees.bind λ tree => tree.filter λ
+    | info@(.ofTacticInfo _) => info.isOriginal
+    | _ => false
+  let tactics := tacticInfoTrees.bind collectTactics
+  tactics.mapM λ invocation => do
+    let goalBefore := (Format.joinSep (← invocation.goalState) "\n").pretty
+    let goalAfter := (Format.joinSep (← invocation.goalStateAfter) "\n").pretty
+    let tactic ← invocation.ctx.runMetaM {} do
+      let t ← PrettyPrinter.ppTactic ⟨invocation.info.stx⟩
+      return t.pretty
+    let usedConstants := invocation.usedConstants.toArray.map λ n => n.toString
+    return {
+      goalBefore,
+      goalAfter,
+      tactic,
+      usedConstants,
+    }
+
+structure InfoWithContext where
+  info: Elab.Info
+  context?: Option Elab.ContextInfo := .none
+
+private def collectSorrysInTree (t : Elab.InfoTree) : List InfoWithContext :=
+  let infos := findAllInfo t none fun i => match i with
+    | .ofTermInfo { expectedType?, expr, stx, .. } =>
+      expr.isSorry ∧ expectedType?.isSome ∧ stx.isOfKind `Lean.Parser.Term.sorry
+    | .ofTacticInfo { stx, goalsBefore, .. } =>
+      -- The `sorry` term is distinct from the `sorry` tactic
+      let isSorry := stx.isOfKind `Lean.Parser.Tactic.tacticSorry
+      isSorry ∧ !goalsBefore.isEmpty
+    | _ => false
+  infos.map fun (info, context?, _) => { info, context? }
+
+-- NOTE: Plural deliberately not spelled "sorries"
+@[export pantograph_frontend_collect_sorrys_m]
+def collectSorrys (step: CompilationStep) : List InfoWithContext :=
+  step.trees.bind collectSorrysInTree
+
+
+
+/--
+Since we cannot directly merge `MetavarContext`s, we have to get creative. This
+function duplicates frozen mvars in term and tactic info nodes, and add them to
+the current `MetavarContext`.
+-/
+@[export pantograph_frontend_sorrys_to_goal_state]
+def sorrysToGoalState (sorrys : List InfoWithContext) : MetaM GoalState := do
+  assert! !sorrys.isEmpty
+  let goalsM := sorrys.mapM λ i => do
+    match i.info with
+    | .ofTermInfo termInfo  => do
+      let mvarId ← MetaTranslate.translateMVarFromTermInfo termInfo i.context?
+      return [mvarId]
+    | .ofTacticInfo tacticInfo => do
+      MetaTranslate.translateMVarFromTacticInfoBefore tacticInfo i.context?
+    | _ => panic! "Invalid info"
+  let goals := List.join (← goalsM.run {} |>.run' {})
+  let root := match goals with
+    | [] => panic! "No MVars generated"
+    | [g] => g
+    | _ => { name := .anonymous }
+  GoalState.createFromMVars goals root
+
+
+
+end Pantograph.Frontend

Pantograph/Frontend/MetaTranslate.lean

@@ -0,0 +1,164 @@
+import Lean.Meta
+import Std.Data.HashMap
+
+open Lean
+
+namespace Pantograph.Frontend
+
+namespace MetaTranslate
+
+structure Context where
+  sourceMCtx : MetavarContext := {}
+  sourceLCtx : LocalContext := {}
+
+abbrev FVarMap := Std.HashMap FVarId FVarId
+
+structure State where
+  -- Stores mapping from old to new mvar/fvars
+  mvarMap: Std.HashMap MVarId MVarId := {}
+  fvarMap: Std.HashMap FVarId FVarId := {}
+
+/-
+Monadic state for translating a frozen meta state. The underlying `MetaM`
+operates in the "target" context and state.
+-/
+abbrev MetaTranslateM := ReaderT Context StateRefT State MetaM
+
+def getSourceLCtx : MetaTranslateM LocalContext := do pure (← read).sourceLCtx
+def getSourceMCtx : MetaTranslateM MetavarContext := do pure (← read).sourceMCtx
+def addTranslatedFVar (src dst: FVarId) : MetaTranslateM Unit := do
+  modifyGet λ state => ((), { state with fvarMap := state.fvarMap.insert src dst })
+def addTranslatedMVar (src dst: MVarId) : MetaTranslateM Unit := do
+  modifyGet λ state => ((), { state with mvarMap := state.mvarMap.insert src dst })
+
+def saveFVarMap : MetaTranslateM FVarMap := do
+  return (← get).fvarMap
+def restoreFVarMap (map: FVarMap) : MetaTranslateM Unit := do
+  modifyGet λ state => ((), { state with fvarMap := map })
+def resetFVarMap : MetaTranslateM Unit := do
+  modifyGet λ state => ((), { state with fvarMap := {} })
+
+mutual
+private partial def translateLevel (srcLevel: Level) : MetaTranslateM Level := do
+  let sourceMCtx ← getSourceMCtx
+  let (_, level) := instantiateLevelMVarsImp sourceMCtx srcLevel
+  match level with
+  | .zero => return .zero
+  | .succ inner => do
+    let inner' ← translateLevel inner
+    return .succ inner'
+  | .max l1 l2 => do
+    let l1' ← translateLevel l1
+    let l2' ← translateLevel l2
+    return .max l1' l2'
+  | .imax l1 l2 => do
+    let l1' ← translateLevel l1
+    let l2' ← translateLevel l2
+    return .imax l1' l2'
+  | .param p => return .param p
+  | .mvar _ =>
+    Meta.mkFreshLevelMVar
+private partial def translateExpr (srcExpr: Expr) : MetaTranslateM Expr := do
+  let sourceMCtx ← getSourceMCtx
+  -- We want to create as few mvars as possible
+  let (srcExpr, _) := instantiateMVarsCore (mctx := sourceMCtx) srcExpr
+  --IO.println s!"Transform src: {srcExpr}"
+  let result ← Core.transform srcExpr λ e => do
+    let state ← get
+    match e with
+    | .fvar fvarId =>
+      let .some fvarId' := state.fvarMap[fvarId]? | panic! s!"FVar id not registered: {fvarId.name}"
+      assert! (← getLCtx).contains fvarId'
+      return .done $ .fvar fvarId'
+    | .mvar mvarId => do
+      -- Must not be assigned
+      assert! !(sourceMCtx.eAssignment.contains mvarId)
+      match state.mvarMap[mvarId]? with
+      | .some mvarId' => do
+        return .done $ .mvar mvarId'
+      | .none => do
+        -- Entering another LCtx, must save the current one
+        let fvarMap ← saveFVarMap
+        let mvarId' ← translateMVarId mvarId
+        restoreFVarMap fvarMap
+        return .done $ .mvar mvarId'
+    | .sort level => do
+      let level' ← translateLevel level
+      return .done $ .sort level'
+    | _ => return .continue
+  Meta.check result
+  return result
+
+partial def translateLocalInstance (srcInstance: LocalInstance) : MetaTranslateM LocalInstance := do
+  return {
+    className := srcInstance.className,
+    fvar := ← translateExpr srcInstance.fvar
+  }
+partial def translateLocalDecl (srcLocalDecl: LocalDecl) : MetaTranslateM LocalDecl := do
+  let fvarId ← mkFreshFVarId
+  addTranslatedFVar srcLocalDecl.fvarId fvarId
+  match srcLocalDecl with
+  | .cdecl index _ userName type bi kind => do
+    --IO.println s!"[CD] {userName} {toString type}"
+    return .cdecl index fvarId userName (← translateExpr type) bi kind
+  | .ldecl index _ userName type value nonDep kind => do
+    --IO.println s!"[LD] {toString type} := {toString value}"
+    return .ldecl index fvarId userName (← translateExpr type) (← translateExpr value) nonDep kind
+
+partial def translateLCtx : MetaTranslateM LocalContext := do
+  resetFVarMap
+  let lctx ← MonadLCtx.getLCtx
+  assert! lctx.isEmpty
+  (← getSourceLCtx).foldlM (λ lctx srcLocalDecl => do
+    let localDecl ← Meta.withLCtx lctx #[] do
+      translateLocalDecl srcLocalDecl
+    pure $ lctx.addDecl localDecl
+  ) lctx
+
+partial def translateMVarId (srcMVarId: MVarId) : MetaTranslateM MVarId := do
+  if let .some mvarId' := (← get).mvarMap[srcMVarId]? then
+    return mvarId'
+  let mvarId' ← Meta.withLCtx .empty #[] do
+    let srcDecl := (← getSourceMCtx).findDecl? srcMVarId |>.get!
+    withTheReader Context (λ ctx => { ctx with sourceLCtx := srcDecl.lctx }) do
+      let lctx' ← translateLCtx
+      let localInstances' ← srcDecl.localInstances.mapM translateLocalInstance
+      Meta.withLCtx lctx' localInstances' do
+        let target' ← translateExpr srcDecl.type
+        let mvar' ← Meta.mkFreshExprMVar target' srcDecl.kind srcDecl.userName
+        let mvarId' := mvar'.mvarId!
+        if let .some { fvars, mvarIdPending }:= (← getSourceMCtx).getDelayedMVarAssignmentExp srcMVarId then
+          -- Map the fvars in the pending context.
+          let mvarIdPending' ← translateMVarId mvarIdPending
+          let fvars' ← mvarIdPending'.withContext $ fvars.mapM translateExpr
+          assignDelayedMVar mvarId' fvars' mvarIdPending'
+        pure mvarId'
+  addTranslatedMVar srcMVarId mvarId'
+  return mvarId'
+end
+
+def translateMVarFromTermInfo (termInfo : Elab.TermInfo) (context? : Option Elab.ContextInfo)
+    : MetaTranslateM MVarId := do
+  withTheReader Context (λ ctx => { ctx with
+    sourceMCtx := context?.map (·.mctx) |>.getD {},
+    sourceLCtx := termInfo.lctx,
+  }) do
+    let type := termInfo.expectedType?.get!
+    let lctx' ← translateLCtx
+    let mvar ← Meta.withLCtx lctx' #[] do
+      let type' ← translateExpr type
+      Meta.mkFreshExprSyntheticOpaqueMVar type'
+    return mvar.mvarId!
+
+
+def translateMVarFromTacticInfoBefore (tacticInfo : Elab.TacticInfo) (_context? : Option Elab.ContextInfo)
+    : MetaTranslateM (List MVarId) := do
+  withTheReader Context (λ ctx => { ctx with sourceMCtx := tacticInfo.mctxBefore }) do
+    tacticInfo.goalsBefore.mapM translateMVarId
+
+
+end MetaTranslate
+
+export MetaTranslate (MetaTranslateM)
+
+end Pantograph.Frontend

Pantograph/Goal.lean

@@ -1,191 +1,131 @@
-import Pantograph.Protocol
-import Lean
+/-
+Functions for handling metavariables
 
-def Lean.MessageLog.getErrorMessages (log : MessageLog) : MessageLog :=
-  {
-    msgs := log.msgs.filter fun m => match m.severity with | MessageSeverity.error => true | _ => false
-  }
+All the functions starting with `try` resume their inner monadic state.
+-/
+import Pantograph.Tactic
+import Lean
 
 
 namespace Pantograph
 open Lean
 
+def filename: String := "<pantograph>"
+
+/--
+Represents an interconnected set of metavariables, or a state in proof search
+ -/
 structure GoalState where
   savedState : Elab.Tactic.SavedState
 
   -- The root hole which is the search target
   root: MVarId
-  -- New metavariables acquired in this state
-  newMVars: SSet MVarId
-
-  -- The id of the goal in the parent
-  parentGoalId: Nat := 0
 
   -- Parent state metavariable source
-  parentMVar: Option MVarId
+  parentMVar?: Option MVarId
 
-abbrev M := Elab.TermElabM
+  -- Existence of this field shows that we are currently in `conv` mode.
+  -- (convRhs, goal, dormant)
+  convMVar?: Option (MVarId × MVarId × List MVarId) := .none
+  -- Previous RHS for calc, so we don't have to repeat it every time
+  -- WARNING: If using `state with` outside of `calc`, this must be set to `.none`
+  calcPrevRhs?: Option (MVarId × Expr) := .none
 
-protected def GoalState.create (expr: Expr): M GoalState := do
+@[export pantograph_goal_state_create_m]
+protected def GoalState.create (expr: Expr): Elab.TermElabM GoalState := do
   -- May be necessary to immediately synthesise all metavariables if we need to leave the elaboration context.
   -- See https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Unknown.20universe.20metavariable/near/360130070
 
   --Elab.Term.synthesizeSyntheticMVarsNoPostponing
   --let expr ← instantiateMVars expr
-  let goal := (← Meta.mkFreshExprMVar expr (kind := MetavarKind.synthetic) (userName := .anonymous))
+  let root ← Meta.mkFreshExprMVar expr (kind := MetavarKind.synthetic) (userName := .anonymous)
   let savedStateMonad: Elab.Tactic.TacticM Elab.Tactic.SavedState := MonadBacktrack.saveState
-  let root := goal.mvarId!
-  let savedState ← savedStateMonad { elaborator := .anonymous } |>.run' { goals := [root]}
+  let savedState ← savedStateMonad { elaborator := .anonymous } |>.run' { goals := [root.mvarId!]}
   return {
+    root := root.mvarId!,
     savedState,
-    root,
-    newMVars := SSet.insert .empty root,
-    parentMVar := .none,
+    parentMVar? := .none,
   }
-protected def GoalState.goals (state: GoalState): List MVarId := state.savedState.tactic.goals
-
-protected def GoalState.runM {α: Type} (state: GoalState) (m: Elab.TermElabM α) : M α := do
-  state.savedState.term.restore
-  m
-
+@[export pantograph_goal_state_create_from_mvars_m]
+protected def GoalState.createFromMVars (goals: List MVarId) (root: MVarId): MetaM GoalState := do
+  let savedStateMonad: Elab.Tactic.TacticM Elab.Tactic.SavedState := MonadBacktrack.saveState
+  let savedState ← savedStateMonad { elaborator := .anonymous } |>.run' { goals } |>.run' {}
+  return {
+    root,
+    savedState,
+    parentMVar? := .none,
+  }
+@[export pantograph_goal_state_is_conv]
+protected def GoalState.isConv (state: GoalState): Bool :=
+  state.convMVar?.isSome
+protected def GoalState.goals (state: GoalState): List MVarId :=
+  state.savedState.tactic.goals
+@[export pantograph_goal_state_goals]
+protected def GoalState.goalsArray (state: GoalState): Array MVarId := state.goals.toArray
 protected def GoalState.mctx (state: GoalState): MetavarContext :=
   state.savedState.term.meta.meta.mctx
 protected def GoalState.env (state: GoalState): Environment :=
   state.savedState.term.meta.core.env
+
+@[export pantograph_goal_state_meta_context_of_goal]
+protected def GoalState.metaContextOfGoal (state: GoalState) (mvarId: MVarId): Option Meta.Context := do
+  let mvarDecl ← state.mctx.findDecl? mvarId
+  return { lctx := mvarDecl.lctx, localInstances := mvarDecl.localInstances }
+protected def GoalState.metaState (state: GoalState): Meta.State :=
+  state.savedState.term.meta.meta
+
+protected def GoalState.withContext (state: GoalState) (mvarId: MVarId) (m: MetaM α): MetaM α := do
+  mvarId.withContext m |>.run' (← read) state.metaState
+
+protected def GoalState.withParentContext { n } [MonadControlT MetaM n] [Monad n] (state: GoalState): n α → n α :=
+  Meta.mapMetaM <| state.withContext state.parentMVar?.get!
+protected def GoalState.withRootContext { n } [MonadControlT MetaM n] [Monad n] (state: GoalState): n α → n α :=
+  Meta.mapMetaM <| state.withContext state.root
+
 private def GoalState.mvars (state: GoalState): SSet MVarId :=
   state.mctx.decls.foldl (init := .empty) fun acc k _ => acc.insert k
-private def GoalState.restoreElabM (state: GoalState): Elab.TermElabM Unit :=
-  state.savedState.term.restore
-def GoalState.restoreMetaM (state: GoalState): MetaM Unit :=
+protected def GoalState.restoreMetaM (state: GoalState): MetaM Unit :=
   state.savedState.term.meta.restore
-
-/-- Inner function for executing tactic on goal state -/
-def executeTactic (state: Elab.Tactic.SavedState) (goal: MVarId) (tactic: Syntax) :
-    M (Except (Array String) Elab.Tactic.SavedState):= do
-  let tacticM (stx: Syntax):  Elab.Tactic.TacticM (Except (Array String) Elab.Tactic.SavedState) := do
-    state.restore
-    Elab.Tactic.setGoals [goal]
-    try
-      Elab.Tactic.evalTactic stx
-      if (← getThe Core.State).messages.hasErrors then
-        let messages := (← getThe Core.State).messages.getErrorMessages |>.toList.toArray
-        let errors ← (messages.map Message.data).mapM fun md => md.toString
-        return .error errors
-      else
-        return .ok (← MonadBacktrack.saveState)
-    catch exception =>
-      return .error #[← exception.toMessageData.toString]
-  tacticM tactic { elaborator := .anonymous } |>.run' state.tactic
-
-/-- Response for executing a tactic -/
-inductive TacticResult where
-  -- Goes to next state
-  | success (state: GoalState)
-  -- Tactic failed with messages
-  | failure (messages: Array String)
-  -- Could not parse tactic
-  | parseError (message: String)
-  -- The goal index is out of bounds
-  | indexError (goalId: Nat)
-
-/-- Execute tactic on given state -/
-protected def GoalState.execute (state: GoalState) (goalId: Nat) (tactic: String):
-    M TacticResult := do
-  state.restoreElabM
-  let goal ← match state.savedState.tactic.goals.get? goalId with
-    | .some goal => pure $ goal
-    | .none => return .indexError goalId
-  let tactic ← match Parser.runParserCategory
-    (env := ← MonadEnv.getEnv)
-    (catName := `tactic)
-    (input := tactic)
-    (fileName := "<stdin>") with
-    | .ok stx => pure $ stx
-    | .error error => return .parseError error
-  match (← executeTactic (state := state.savedState) (goal := goal) (tactic := tactic)) with
-  | .error errors =>
-    return .failure errors
-  | .ok nextSavedState =>
-    -- Assert that the definition of metavariables are the same
-    let nextMCtx := nextSavedState.term.meta.meta.mctx
-    let prevMCtx := state.savedState.term.meta.meta.mctx
-    -- Generate a list of mvarIds that exist in the parent state; Also test the
-    -- assertion that the types have not changed on any mvars.
-    let newMVars ← nextMCtx.decls.foldlM (fun acc mvarId mvarDecl => do
-      if let .some prevMVarDecl := prevMCtx.decls.find? mvarId then
-        assert! prevMVarDecl.type == mvarDecl.type
-        return acc
-      else
-        return acc.insert mvarId
-      ) SSet.empty
-    return .success {
-      root := state.root,
-      savedState := nextSavedState
-      newMVars,
-      parentGoalId := goalId,
-      parentMVar := .some goal,
-    }
-
-protected def GoalState.tryAssign (state: GoalState) (goalId: Nat) (expr: String): M TacticResult := do
-  state.restoreElabM
-  let goal ← match state.savedState.tactic.goals.get? goalId with
-    | .some goal => pure goal
-    | .none => return .indexError goalId
-  let expr ← match Parser.runParserCategory
-    (env := state.env)
-    (catName := `term)
-    (input := expr)
-    (fileName := "<stdin>") with
-    | .ok syn => pure syn
-    | .error error => return .parseError error
-  let tacticM:  Elab.Tactic.TacticM TacticResult := do
+protected def GoalState.restoreElabM (state: GoalState): Elab.TermElabM Unit :=
+  state.savedState.term.restore
+private def GoalState.restoreTacticM (state: GoalState) (goal: MVarId): Elab.Tactic.TacticM Unit := do
   state.savedState.restore
   Elab.Tactic.setGoals [goal]
-    try
-      let expr ← Elab.Term.elabTerm (stx := expr) (expectedType? := .none)
-      -- Attempt to unify the expression
-      let goalType ← goal.getType
-      let exprType ← Meta.inferType expr
-      if !(← Meta.isDefEq goalType exprType) then
-        return .failure #["Type unification failed", toString (← Meta.ppExpr goalType), toString (← Meta.ppExpr exprType)]
-      goal.checkNotAssigned `GoalState.tryAssign
-      goal.assign expr
-      if (← getThe Core.State).messages.hasErrors then
-        let messages := (← getThe Core.State).messages.getErrorMessages |>.toList.toArray
-        let errors ← (messages.map Message.data).mapM fun md => md.toString
-        return .failure errors
-      else
-        let prevMCtx := state.savedState.term.meta.meta.mctx
-        let nextMCtx ← getMCtx
-        -- Generate a list of mvarIds that exist in the parent state; Also test the
-        -- assertion that the types have not changed on any mvars.
-        let newMVars ← nextMCtx.decls.foldlM (fun acc mvarId mvarDecl => do
-          if let .some prevMVarDecl := prevMCtx.decls.find? mvarId then
-            assert! prevMVarDecl.type == mvarDecl.type
-            return acc
-          else
-            return mvarId :: acc
-          ) []
-        -- The new goals are the newMVars that lack an assignment
-        Elab.Tactic.setGoals (← newMVars.filterM (λ mvar => do pure !(← mvar.isAssigned)))
-        let nextSavedState ← MonadBacktrack.saveState
-        return .success {
-          root := state.root,
-          savedState := nextSavedState,
-          newMVars := newMVars.toSSet,
-          parentGoalId := goalId,
-          parentMVar := .some goal,
+
+@[export pantograph_goal_state_focus]
+protected def GoalState.focus (state: GoalState) (goalId: Nat): Option GoalState := do
+  let goal ← state.savedState.tactic.goals.get? goalId
+  return {
+    state with
+    savedState := {
+      state.savedState with
+      tactic := { goals := [goal] },
+    },
+    calcPrevRhs? := .none,
+  }
+
+/-- Immediately bring all parent goals back into scope. Used in automatic mode -/
+@[export pantograph_goal_state_immediate_resume_parent]
+protected def GoalState.immediateResume (state: GoalState) (parent: GoalState): GoalState :=
+  -- Prune parents solved goals
+  let mctx := state.mctx
+  let parentGoals := parent.goals.filter $ λ goal => mctx.eAssignment.contains goal
+  {
+    state with
+    savedState := {
+      state.savedState with
+      tactic := { goals := state.goals ++ parentGoals },
+    },
   }
-    catch exception =>
-      return .failure #[← exception.toMessageData.toString]
-  tacticM { elaborator := .anonymous } |>.run' state.savedState.tactic
 
 /--
 Brings into scope a list of goals
 -/
+@[export pantograph_goal_state_resume]
 protected def GoalState.resume (state: GoalState) (goals: List MVarId): Except String GoalState :=
   if ¬ (goals.all (λ goal => state.mvars.contains goal)) then
-    .error s!"Goals not in scope"
+    let invalid_goals := goals.filter (λ goal => ¬ state.mvars.contains goal) |>.map (·.name.toString)
+    .error s!"Goals {invalid_goals} are not in scope"
   else
     -- Set goals to the goals that have not been assigned yet, similar to the `focus` tactic.
     let unassigned := goals.filter (λ goal =>
@@ -198,10 +138,10 @@ protected def GoalState.resume (state: GoalState) (goals: List MVarId): Except S
         tactic := { goals := unassigned },
       },
     }
-
 /--
 Brings into scope all goals from `branch`
 -/
+@[export pantograph_goal_state_continue]
 protected def GoalState.continue (target: GoalState) (branch: GoalState): Except String GoalState :=
   if !target.goals.isEmpty then
     .error s!"Target state has unresolved goals"
@@ -210,25 +150,248 @@ protected def GoalState.continue (target: GoalState) (branch: GoalState): Except
   else
     target.resume (goals := branch.goals)
 
+@[export pantograph_goal_state_root_expr]
 protected def GoalState.rootExpr? (goalState: GoalState): Option Expr := do
+  if goalState.root.name == .anonymous then
+    .none
   let expr ← goalState.mctx.eAssignment.find? goalState.root
   let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
-  if expr.hasMVar then
+  if expr.hasExprMVar then
     -- Must not assert that the goal state is empty here. We could be in a branch goal.
     --assert! ¬goalState.goals.isEmpty
     .none
   else
     assert! goalState.goals.isEmpty
     return expr
+@[export pantograph_goal_state_parent_expr]
 protected def GoalState.parentExpr? (goalState: GoalState): Option Expr := do
-  let parent ← goalState.parentMVar
+  let parent ← goalState.parentMVar?
   let expr := goalState.mctx.eAssignment.find! parent
   let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
   return expr
-protected def GoalState.assignedExprOf? (goalState: GoalState) (mvar: MVarId): Option Expr := do
-  let expr ← goalState.mctx.eAssignment.find? mvar
+@[export pantograph_goal_state_get_mvar_e_assignment]
+protected def GoalState.getMVarEAssignment (goalState: GoalState) (mvarId: MVarId): Option Expr := do
+  let expr ← goalState.mctx.eAssignment.find? mvarId
   let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
   return expr
 
+--- Tactic execution functions ---
+
+protected def GoalState.step (state: GoalState) (goal: MVarId) (tacticM: Elab.Tactic.TacticM Unit)
+  : Elab.TermElabM GoalState := do
+  unless (← getMCtx).decls.contains goal do
+    throwError s!"Goal is not in context: {goal.name}"
+  goal.checkNotAssigned `GoalState.step
+  let (_, newGoals) ← tacticM { elaborator := .anonymous } |>.run { goals := [goal] }
+  let nextElabState ← MonadBacktrack.saveState
+  return {
+    state with
+    savedState := { term := nextElabState, tactic := newGoals },
+    parentMVar? := .some goal,
+    calcPrevRhs? := .none,
+  }
+
+/-- Response for executing a tactic -/
+inductive TacticResult where
+  -- Goes to next state
+  | success (state: GoalState)
+  -- Tactic failed with messages
+  | failure (messages: Array String)
+  -- Could not parse tactic
+  | parseError (message: String)
+  -- The given action cannot be executed in the state
+  | invalidAction (message: String)
+
+/-- Executes a `TacticM` monads on this `GoalState`, collecting the errors as necessary -/
+protected def GoalState.tryTacticM (state: GoalState) (goal: MVarId) (tacticM: Elab.Tactic.TacticM Unit):
+      Elab.TermElabM TacticResult := do
+  try
+    let nextState ← state.step goal tacticM
+    return .success nextState
+  catch exception =>
+    return .failure #[← exception.toMessageData.toString]
+
+/-- Execute a string tactic on given state. Restores TermElabM -/
+protected def GoalState.tryTactic (state: GoalState) (goal: MVarId) (tactic: String):
+    Elab.TermElabM TacticResult := do
+  state.restoreElabM
+  let tactic ← match Parser.runParserCategory
+    (env := ← MonadEnv.getEnv)
+    (catName := if state.isConv then `conv else `tactic)
+    (input := tactic)
+    (fileName := filename) with
+    | .ok stx => pure $ stx
+    | .error error => return .parseError error
+  state.tryTacticM goal $ Elab.Tactic.evalTactic tactic
+
+protected def GoalState.tryAssign (state: GoalState) (goal: MVarId) (expr: String):
+      Elab.TermElabM TacticResult := do
+  state.restoreElabM
+  let expr ← match Parser.runParserCategory
+    (env := ← MonadEnv.getEnv)
+    (catName := `term)
+    (input := expr)
+    (fileName := filename) with
+    | .ok syn => pure syn
+    | .error error => return .parseError error
+  state.tryTacticM goal $ Tactic.evalAssign expr
+
+-- Specialized Tactics
+
+protected def GoalState.tryLet (state: GoalState) (goal: MVarId) (binderName: String) (type: String):
+      Elab.TermElabM TacticResult := do
+  state.restoreElabM
+  let type ← match Parser.runParserCategory
+    (env := ← MonadEnv.getEnv)
+    (catName := `term)
+    (input := type)
+    (fileName := filename) with
+    | .ok syn => pure syn
+    | .error error => return .parseError error
+  state.tryTacticM goal $ Tactic.evalLet binderName.toName type
+
+/-- Enter conv tactic mode -/
+protected def GoalState.conv (state: GoalState) (goal: MVarId):
+      Elab.TermElabM TacticResult := do
+  if state.convMVar?.isSome then
+    return .invalidAction "Already in conv state"
+  goal.checkNotAssigned `GoalState.conv
+  let tacticM :  Elab.Tactic.TacticM (Elab.Tactic.SavedState × MVarId) := do
+    state.restoreTacticM goal
+
+    -- See Lean.Elab.Tactic.Conv.convTarget
+    let convMVar ← Elab.Tactic.withMainContext do
+      let (rhs, newGoal) ← Elab.Tactic.Conv.mkConvGoalFor (← Elab.Tactic.getMainTarget)
+      Elab.Tactic.replaceMainGoal [newGoal.mvarId!]
+      pure rhs.mvarId!
+    return (← MonadBacktrack.saveState, convMVar)
+  try
+    let (nextSavedState, convRhs) ← tacticM { elaborator := .anonymous } |>.run' state.savedState.tactic
+    -- Other goals are now dormant
+    let otherGoals := state.goals.filter $ λ g => g != goal
+    return .success {
+      root := state.root,
+      savedState := nextSavedState
+      parentMVar? := .some goal,
+      convMVar? := .some (convRhs, goal, otherGoals),
+      calcPrevRhs? := .none
+    }
+  catch exception =>
+    return .failure #[← exception.toMessageData.toString]
+
+/-- Exit from `conv` mode. Resumes all goals before the mode starts and applys the conv -/
+@[export pantograph_goal_state_conv_exit_m]
+protected def GoalState.convExit (state: GoalState):
+      Elab.TermElabM TacticResult := do
+  let (convRhs, convGoal, _) ← match state.convMVar? with
+    | .some mvar => pure mvar
+    | .none => return .invalidAction "Not in conv state"
+  let tacticM :  Elab.Tactic.TacticM Elab.Tactic.SavedState:= do
+    -- Vide `Lean.Elab.Tactic.Conv.convert`
+    state.savedState.restore
+
+    -- Close all existing goals with `refl`
+    for mvarId in (← Elab.Tactic.getGoals) do
+      liftM <| mvarId.refl <|> mvarId.inferInstance <|> pure ()
+    Elab.Tactic.pruneSolvedGoals
+    unless (← Elab.Tactic.getGoals).isEmpty do
+      throwError "convert tactic failed, there are unsolved goals\n{Elab.goalsToMessageData (← Elab.Tactic.getGoals)}"
+
+    Elab.Tactic.setGoals [convGoal]
+
+    let targetNew ← instantiateMVars (.mvar convRhs)
+    let proof ← instantiateMVars (.mvar convGoal)
+
+    Elab.Tactic.liftMetaTactic1 fun mvarId => mvarId.replaceTargetEq targetNew proof
+    MonadBacktrack.saveState
+  try
+    let nextSavedState ← tacticM { elaborator := .anonymous } |>.run' state.savedState.tactic
+    return .success {
+      root := state.root,
+      savedState := nextSavedState
+      parentMVar? := .some convGoal,
+      convMVar? := .none
+      calcPrevRhs? := .none
+    }
+  catch exception =>
+    return .failure #[← exception.toMessageData.toString]
+
+protected def GoalState.calcPrevRhsOf? (state: GoalState) (goal: MVarId): Option Expr := do
+  let (mvarId, rhs) ← state.calcPrevRhs?
+  if mvarId == goal then
+    .some rhs
+  else
+    .none
+@[export pantograph_goal_state_try_calc_m]
+protected def GoalState.tryCalc (state: GoalState) (goal: MVarId) (pred: String):
+      Elab.TermElabM TacticResult := do
+  state.restoreElabM
+  if state.convMVar?.isSome then
+    return .invalidAction "Cannot initiate `calc` while in `conv` state"
+  let `(term|$pred) ← match Parser.runParserCategory
+    (env := state.env)
+    (catName := `term)
+    (input := pred)
+    (fileName := filename) with
+    | .ok syn => pure syn
+    | .error error => return .parseError error
+  goal.checkNotAssigned `GoalState.tryCalc
+  let calcPrevRhs? := state.calcPrevRhsOf? goal
+  let decl ← goal.getDecl
+  let target ← instantiateMVars decl.type
+  let tag := decl.userName
+  try
+    goal.withContext do
+
+    let mut step ← Elab.Term.elabType <| ← do
+      if let some prevRhs := calcPrevRhs? then
+        Elab.Term.annotateFirstHoleWithType pred (← Meta.inferType prevRhs)
+      else
+        pure pred
+
+    let some (_, lhs, rhs) ← Elab.Term.getCalcRelation? step |
+      throwErrorAt pred "invalid 'calc' step, relation expected{indentExpr step}"
+    if let some prevRhs := calcPrevRhs? then
+      unless ← Meta.isDefEqGuarded lhs prevRhs do
+        throwErrorAt pred "invalid 'calc' step, left-hand-side is{indentD m!"{lhs} : {← Meta.inferType lhs}"}\nprevious right-hand-side is{indentD m!"{prevRhs} : {← Meta.inferType prevRhs}"}" -- "
+
+    -- Creates a mvar to represent the proof that the calc tactic solves the
+    -- current branch
+    -- In the Lean `calc` tactic this is gobbled up by
+    -- `withCollectingNewGoalsFrom`
+    let mut proof ← Meta.mkFreshExprMVarAt (← getLCtx) (← Meta.getLocalInstances) step
+      (userName := tag ++ `calc)
+    let mvarBranch := proof.mvarId!
+
+    let mut proofType ← Meta.inferType proof
+    let mut remainder? := Option.none
+
+    -- The calc tactic either solves the main goal or leaves another relation.
+    -- Replace the main goal, and save the new goal if necessary
+    unless ← Meta.isDefEq proofType target do
+      let rec throwFailed :=
+        throwError "'calc' tactic failed, has type{indentExpr proofType}\nbut it is expected to have type{indentExpr target}"
+      let some (_, _, rhs) ← Elab.Term.getCalcRelation? proofType | throwFailed
+      let some (r, _, rhs') ← Elab.Term.getCalcRelation? target | throwFailed
+      let lastStep := mkApp2 r rhs rhs'
+      let lastStepGoal ← Meta.mkFreshExprSyntheticOpaqueMVar lastStep tag
+      (proof, proofType) ← Elab.Term.mkCalcTrans proof proofType lastStepGoal lastStep
+      unless ← Meta.isDefEq proofType target do throwFailed
+      remainder? := .some lastStepGoal.mvarId!
+    goal.assign proof
+
+    let goals := [ mvarBranch ] ++ remainder?.toList
+    let calcPrevRhs? := remainder?.map $ λ g => (g, rhs)
+    return .success {
+      root := state.root,
+      savedState := {
+        term := ← MonadBacktrack.saveState,
+        tactic := { goals },
+      },
+      parentMVar? := .some goal,
+      calcPrevRhs?
+    }
+  catch exception =>
+    return .failure #[← exception.toMessageData.toString]
 
 end Pantograph

Pantograph/Library.lean

@@ -1,3 +1,4 @@
+import Pantograph.Condensed
 import Pantograph.Environment
 import Pantograph.Goal
 import Pantograph.Protocol
@@ -34,15 +35,14 @@ def setOptionFromString' (opts : Options) (entry : String) : ExceptT String IO O
 
 end Lean
 
+open Lean
+
 namespace Pantograph
 
-def runMetaM { α } (metaM: Lean.MetaM α): Lean.CoreM α :=
+def runMetaM { α } (metaM: MetaM α): CoreM α :=
   metaM.run'
-def runTermElabM { α } (termElabM: Lean.Elab.TermElabM α): Lean.CoreM α :=
-  termElabM.run' (ctx := {
-    declName? := .none,
-    errToSorry := false,
-  }) |>.run'
+def runTermElabM { α } (termElabM: Elab.TermElabM α): CoreM α :=
+  termElabM.run' (ctx := Condensed.elabContext) |>.run'
 
 def errorI (type desc: String): Protocol.InteractionError := { error := type, desc := desc }
 
@@ -54,13 +54,13 @@ unsafe def initSearch (sp: String): IO Unit := do
 
 /-- Creates a Core.Context object needed to run all monads -/
 @[export pantograph_create_core_context]
-def createCoreContext (options: Array String): IO Lean.Core.Context := do
-  let options? ← options.foldlM Lean.setOptionFromString' Lean.Options.empty |>.run
+def createCoreContext (options: Array String): IO Core.Context := do
+  let options? ← options.foldlM setOptionFromString' Options.empty |>.run
   let options ← match options? with
     | .ok options => pure options
     | .error e => throw $ IO.userError s!"Options cannot be parsed: {e}"
   return {
-    currNamespace := Lean.Name.str .anonymous "Aniva"
+    currNamespace := Name.str .anonymous "Aniva"
     openDecls := [],     -- No 'open' directives needed
     fileName := "<Pantograph>",
     fileMap := { source := "", positions := #[0] },
@@ -69,113 +69,137 @@ def createCoreContext (options: Array String): IO Lean.Core.Context := do
 
 /-- Creates a Core.State object needed to run all monads -/
 @[export pantograph_create_core_state]
-def createCoreState (imports: Array String): IO Lean.Core.State := do
+def createCoreState (imports: Array String): IO Core.State := do
   let env ← Lean.importModules
     (imports := imports.map (λ str => { module := str.toName, runtimeOnly := false }))
     (opts := {})
     (trustLevel := 1)
   return { env := env }
 
-@[export pantograph_env_catalog_m]
-def envCatalog: Lean.CoreM Protocol.EnvCatalogResult :=
-  Environment.catalog ({}: Protocol.EnvCatalog)
-
-@[export pantograph_mk_options]
-def mkOptions
-  (printJsonPretty: Bool)
-  (printExprPretty: Bool)
-  (printExprAST: Bool)
-  (noRepeat: Bool)
-  (printAuxDecls: Bool)
-  (printImplementationDetailHyps: Bool)
-  : Protocol.Options := {
-    printJsonPretty,
-    printExprPretty,
-    printExprAST,
-    noRepeat,
-    printAuxDecls,
-    printImplementationDetailHyps,
-  }
-
-@[export pantograph_env_inspect_m]
-def envInspect (name: String) (value: Bool) (dependency: Bool) (options: @&Protocol.Options):
-    Lean.CoreM (Protocol.CR Protocol.EnvInspectResult) :=
-  Environment.inspect ({
-    name, value? := .some value, dependency?:= .some dependency
-  }: Protocol.EnvInspect) options
-
 @[export pantograph_env_add_m]
 def envAdd (name: String) (type: String) (value: String) (isTheorem: Bool):
-    Lean.CoreM (Protocol.CR Protocol.EnvAddResult) :=
+    CoreM (Protocol.CR Protocol.EnvAddResult) :=
   Environment.addDecl { name, type, value, isTheorem }
 
-/-- This must be a TermElabM since the parsed expr contains extra information -/
-def exprParse (s: String): Lean.Elab.TermElabM (Protocol.CR Lean.Expr) := do
-  let env ← Lean.MonadEnv.getEnv
-  let syn ← match syntax_from_str env s with
+@[export pantograph_parse_elab_type_m]
+def parseElabType (type: String): Elab.TermElabM (Protocol.CR Expr) := do
+  let env ← MonadEnv.getEnv
+  let syn ← match parseTerm env type with
     | .error str => return .error $ errorI "parsing" str
     | .ok syn => pure syn
-  match ← syntax_to_expr syn with
+  match ← elabType syn with
   | .error str => return .error $ errorI "elab" str
-  | .ok expr => return .ok expr
+  | .ok expr => return .ok (← instantiateMVars expr)
+
+/-- This must be a TermElabM since the parsed expr contains extra information -/
+@[export pantograph_parse_elab_expr_m]
+def parseElabExpr (expr: String) (expectedType?: Option String := .none): Elab.TermElabM (Protocol.CR Expr) := do
+  let env ← MonadEnv.getEnv
+  let expectedType? ← match ← expectedType?.mapM parseElabType with
+    | .none => pure $ .none
+    | .some (.ok t) => pure $ .some t
+    | .some (.error e) => return .error e
+  let syn ← match parseTerm env expr with
+    | .error str => return .error $ errorI "parsing" str
+    | .ok syn => pure syn
+  match ← elabTerm syn expectedType? with
+  | .error str => return .error $ errorI "elab" str
+  | .ok expr => return .ok (← instantiateMVars expr)
 
 @[export pantograph_expr_echo_m]
-def exprEcho (expr: String) (options: @&Protocol.Options):
-    Lean.CoreM (Protocol.CR Protocol.ExprEchoResult) := do
-  let termElabM: Lean.Elab.TermElabM _ := do
-    let expr ← match ← exprParse expr with
+def exprEcho (expr: String) (expectedType?: Option String := .none) (levels: Array String := #[])  (options: @&Protocol.Options := {}):
+    CoreM (Protocol.CR Protocol.ExprEchoResult) :=
+  runTermElabM $ Elab.Term.withLevelNames (levels.toList.map (·.toName)) do
+    let expr ← match ← parseElabExpr expr expectedType? with
       | .error e => return .error e
       | .ok expr => pure expr
     try
-      let type ← Lean.Meta.inferType expr
+      let type ← unfoldAuxLemmas (← Meta.inferType expr)
       return .ok {
-          type := (← serialize_expression options type),
-          expr := (← serialize_expression options expr)
+          type := (← serializeExpression options type),
+          expr := (← serializeExpression options expr)
       }
     catch exception =>
       return .error $ errorI "typing" (← exception.toMessageData.toString)
-  runTermElabM termElabM
 
 @[export pantograph_goal_start_expr_m]
-def goalStartExpr (expr: String): Lean.CoreM (Protocol.CR GoalState) :=
-  let termElabM: Lean.Elab.TermElabM _ := do
-    let expr ← match ← exprParse expr with
+def goalStartExpr (expr: String) (levels: Array String): CoreM (Protocol.CR GoalState) :=
+  runTermElabM $ Elab.Term.withLevelNames (levels.toList.map (·.toName)) do
+    let expr ← match ← parseElabType expr with
       | .error e => return .error e
       | .ok expr => pure $ expr
     return .ok $ ← GoalState.create expr
-  runTermElabM termElabM
-
-@[export pantograph_goal_tactic_m]
-def goalTactic (state: GoalState) (goalId: Nat) (tactic: String): Lean.CoreM TacticResult :=
-  runTermElabM <| GoalState.execute state goalId tactic
-
-@[export pantograph_goal_try_assign_m]
-def goalTryAssign (state: GoalState) (goalId: Nat) (expr: String): Lean.CoreM TacticResult :=
-  runTermElabM <| GoalState.tryAssign state goalId expr
-
-@[export pantograph_goal_continue]
-def goalContinue (target: GoalState) (branch: GoalState): Except String GoalState :=
-  target.continue branch
 
 @[export pantograph_goal_resume]
 def goalResume (target: GoalState) (goals: Array String): Except String GoalState :=
   target.resume (goals.map (λ n => { name := n.toName }) |>.toList)
 
 @[export pantograph_goal_serialize_m]
-def goalSerialize (state: GoalState) (options: @&Protocol.Options): Lean.CoreM (Array Protocol.Goal) :=
+def goalSerialize (state: GoalState) (options: @&Protocol.Options): CoreM (Array Protocol.Goal) :=
   runMetaM <| state.serializeGoals (parent := .none) options
 
 @[export pantograph_goal_print_m]
-def goalPrint (state: GoalState) (options: @&Protocol.Options): Lean.CoreM Protocol.GoalPrintResult := do
-  let metaM := do
+def goalPrint (state: GoalState) (options: @&Protocol.Options): CoreM Protocol.GoalPrintResult :=
+  runMetaM do
     state.restoreMetaM
     return {
-      root? := ← state.rootExpr?.mapM (λ expr => do
-        serialize_expression options (← unfoldAuxLemmas expr)),
-      parent? := ← state.parentExpr?.mapM (λ expr => do
-        serialize_expression options (← unfoldAuxLemmas expr)),
+      root? := ← state.rootExpr?.mapM (λ expr =>
+        state.withRootContext do
+          serializeExpression options (← instantiateAll expr)),
+      parent? := ← state.parentExpr?.mapM (λ expr =>
+        state.withParentContext do
+          serializeExpression options (← instantiateAll expr)),
     }
-  runMetaM metaM
 
+@[export pantograph_goal_tactic_m]
+def goalTactic (state: GoalState) (goal:  MVarId) (tactic: String): CoreM TacticResult :=
+  runTermElabM <| state.tryTactic goal tactic
+@[export pantograph_goal_assign_m]
+def goalAssign (state: GoalState) (goal: MVarId) (expr: String): CoreM TacticResult :=
+  runTermElabM <| state.tryAssign goal expr
+@[export pantograph_goal_have_m]
+protected def GoalState.tryHave (state: GoalState) (goal: MVarId) (binderName: String) (type: String): CoreM TacticResult := do
+  let type ← match (← parseTermM type) with
+    | .ok syn => pure syn
+    | .error error => return .parseError error
+  runTermElabM do
+    state.restoreElabM
+    state.tryTacticM goal $ Tactic.evalHave binderName.toName type
+@[export pantograph_goal_try_define_m]
+protected def GoalState.tryDefine (state: GoalState) (goal: MVarId) (binderName: String) (expr: String): CoreM TacticResult := do
+  let expr ← match (← parseTermM expr) with
+    | .ok syn => pure syn
+    | .error error => return .parseError error
+  runTermElabM do
+    state.restoreElabM
+    state.tryTacticM goal (Tactic.evalDefine binderName.toName expr)
+@[export pantograph_goal_try_motivated_apply_m]
+protected def GoalState.tryMotivatedApply (state: GoalState) (goal: MVarId) (recursor: String):
+      Elab.TermElabM TacticResult := do
+  state.restoreElabM
+  let recursor ← match (← parseTermM recursor) with
+    | .ok syn => pure syn
+    | .error error => return .parseError error
+  state.tryTacticM goal (tacticM := Tactic.evalMotivatedApply recursor)
+@[export pantograph_goal_try_no_confuse_m]
+protected def GoalState.tryNoConfuse (state: GoalState) (goal: MVarId) (eq: String):
+      Elab.TermElabM TacticResult := do
+  state.restoreElabM
+  let eq ← match (← parseTermM eq) with
+    | .ok syn => pure syn
+    | .error error => return .parseError error
+  state.tryTacticM goal (tacticM := Tactic.evalNoConfuse eq)
+@[export pantograph_goal_let_m]
+def goalLet (state: GoalState) (goal: MVarId) (binderName: String) (type: String): CoreM TacticResult :=
+  runTermElabM <| state.tryLet goal binderName type
+@[export pantograph_goal_conv_m]
+def goalConv (state: GoalState) (goal: MVarId): CoreM TacticResult :=
+  runTermElabM <| state.conv goal
+@[export pantograph_goal_conv_exit_m]
+def goalConvExit (state: GoalState): CoreM TacticResult :=
+  runTermElabM <| state.convExit
+@[export pantograph_goal_calc_m]
+def goalCalc (state: GoalState) (goal: MVarId) (pred: String): CoreM TacticResult :=
+  runTermElabM <| state.tryCalc goal pred
 
 end Pantograph

Pantograph/Protocol.lean

@@ -18,6 +18,7 @@ structure Options where
   printExprPretty: Bool    := true
   -- When enabled, print the raw AST of expressions
   printExprAST: Bool       := false
+  printDependentMVars: Bool := false
   -- When enabled, the types and values of persistent variables in a goal
   -- are not shown unless they are new to the proof step. Reduces overhead.
   -- NOTE: that this assumes the type and assignment of variables can never change.
@@ -26,6 +27,8 @@ structure Options where
   printAuxDecls: Bool      := false
   -- See `pp.implementationDetailHyps`
   printImplementationDetailHyps: Bool := false
+  -- If this is set to `true`, goals will never go dormant, so you don't have to manage resumption
+  automaticMode: Bool := true
   deriving Lean.ToJson
 
 abbrev OptionsT := ReaderT Options
@@ -41,6 +44,7 @@ structure Expression where
   pp?: Option String             := .none
   -- AST structure
   sexp?: Option String           := .none
+  dependentMVars?: Option (Array String) := .none
   deriving Lean.ToJson
 
 structure Variable where
@@ -49,7 +53,7 @@ structure Variable where
   /-- The name displayed to the user -/
   userName: String
   /-- Does the name contain a dagger -/
-  isInaccessible?: Option Bool := .none
+  isInaccessible: Bool := false
   type?: Option Expression  := .none
   value?: Option Expression := .none
   deriving Lean.ToJson
@@ -98,6 +102,9 @@ structure StatResult where
 -- Return the type of an expression
 structure ExprEcho where
   expr: String
+  type?: Option String
+  -- universe levels
+  levels: Option (Array String) := .none
   deriving Lean.FromJson
 structure ExprEchoResult where
   expr: Expression
@@ -137,12 +144,20 @@ structure ConstructorInfo where
   numParams: Nat
   numFields: Nat
   deriving Lean.ToJson
+
+/-- See `Lean/Declaration.lean` -/
+structure RecursorRule where
+  ctor: String
+  nFields: Nat
+  rhs: Expression
+  deriving Lean.ToJson
 structure RecursorInfo where
   all: Array String
   numParams: Nat
   numIndices: Nat
   numMotives: Nat
   numMinors: Nat
+  rules: Array RecursorRule
   k: Bool
   deriving Lean.ToJson
 structure EnvInspectResult where
@@ -173,19 +188,22 @@ structure OptionsSet where
   printJsonPretty?: Option Bool
   printExprPretty?: Option Bool
   printExprAST?: Option Bool
+  printDependentMVars?: Option Bool
   noRepeat?: Option Bool
   printAuxDecls?: Option Bool
   printImplementationDetailHyps?: Option Bool
+  automaticMode?: Option Bool
   deriving Lean.FromJson
 structure OptionsSetResult where
   deriving Lean.ToJson
 structure OptionsPrint where
   deriving Lean.FromJson
-abbrev OptionsPrintResult := Options
 
 structure GoalStart where
   -- Only one of the fields below may be populated.
   expr: Option String     -- Directly parse in an expression
+  -- universe levels
+  levels: Option (Array String) := .none
   copyFrom: Option String -- Copy the type from a theorem in the environment
   deriving Lean.FromJson
 structure GoalStartResult where
@@ -200,6 +218,15 @@ structure GoalTactic where
   -- One of the fields here must be filled
   tactic?: Option String := .none
   expr?: Option String := .none
+  have?: Option String := .none
+  let?: Option String := .none
+  calc?: Option String := .none
+  -- true to enter `conv`, `false` to exit. In case of exit the `goalId` is ignored.
+  conv?: Option Bool := .none
+
+  -- In case of the `have` tactic, the new free variable name is provided here
+  binderName?: Option String := .none
+
   deriving Lean.FromJson
 structure GoalTacticResult where
   -- The next goal state id. Existence of this field shows success
@@ -254,6 +281,40 @@ structure GoalDiag where
   -- Print all mvars
   printAll: Bool := false
   instantiate: Bool := true
+  printSexp: Bool := false
+
+
+/-- Executes the Lean compiler on a single file -/
+structure FrontendProcess where
+  -- One of these two must be supplied: Either supply the file name or the content.
+  fileName?: Option String := .none
+  file?: Option String := .none
+  -- If set to true, collect tactic invocations
+  invocations: Bool := false
+  -- If set to true, collect `sorry`s
+  sorrys: Bool := false
+  deriving Lean.FromJson
+structure InvokedTactic where
+  goalBefore: String
+  goalAfter: String
+  tactic: String
+
+  -- List of used constants
+  usedConstants: Array String
+  deriving Lean.ToJson
+
+structure CompilationUnit where
+  -- String boundaries of compilation units
+  boundary: (Nat × Nat)
+  -- Tactic invocations
+  invocations?: Option (List InvokedTactic) := .none
+  goalStateId?: Option Nat := .none
+  goals: Array Goal := #[]
+  messages: Array String := #[]
+  deriving Lean.ToJson
+structure FrontendProcessResult where
+  units: List CompilationUnit
+  deriving Lean.ToJson
 
 abbrev CR α := Except InteractionError α
 

Pantograph/Serial.lean

@@ -1,97 +1,125 @@
 /-
-All serialisation functions
+All serialisation functions;
+This replicates the behaviour of `Scope`s in `Lean/Elab/Command.lean` without
+using `Scope`s.
 -/
 import Lean
-
-import Pantograph.Protocol
+import Pantograph.Condensed
+import Pantograph.Expr
 import Pantograph.Goal
+import Pantograph.Protocol
 
 open Lean
 
 -- Symbol processing functions --
 
-def Lean.Name.isAuxLemma (n : Lean.Name) : Bool := n matches .num (.str _ "_auxLemma") _
-
 namespace Pantograph
 
-/-- Unfold all lemmas created by `Lean.Meta.mkAuxLemma`. These end in `_auxLemma.nn` where `nn` is a number. -/
-def unfoldAuxLemmas (e : Lean.Expr) : Lean.MetaM Lean.Expr := do
-  Lean.Meta.deltaExpand e Lean.Name.isAuxLemma
 
 --- Input Functions ---
 
 /-- Read syntax object from string -/
-def syntax_from_str (env: Environment) (s: String): Except String Syntax :=
+def parseTerm (env: Environment) (s: String): Except String Syntax :=
   Parser.runParserCategory
     (env := env)
     (catName := `term)
     (input := s)
     (fileName := "<stdin>")
 
+def parseTermM [Monad m] [MonadEnv m] (s: String): m (Except String Syntax) := do
+  return Parser.runParserCategory
+    (env := ← MonadEnv.getEnv)
+    (catName := `term)
+    (input := s)
+    (fileName := "<stdin>")
 
 /-- Parse a syntax object. May generate additional metavariables! -/
-def syntax_to_expr_type (syn: Syntax): Elab.TermElabM (Except String Expr) := do
+def elabType (syn: Syntax): Elab.TermElabM (Except String Expr) := do
   try
     let expr ← Elab.Term.elabType syn
     return .ok expr
   catch ex => return .error (← ex.toMessageData.toString)
-def syntax_to_expr (syn: Syntax): Elab.TermElabM (Except String Expr) := do
+def elabTerm (syn: Syntax) (expectedType? : Option Expr := .none): Elab.TermElabM (Except String Expr) := do
   try
-    let expr ← Elab.Term.elabTerm (stx := syn) (expectedType? := .none)
+    let expr ← Elab.Term.elabTerm (stx := syn) expectedType?
     return .ok expr
   catch ex => return .error (← ex.toMessageData.toString)
 
 
 --- Output Functions ---
 
-def type_expr_to_bound (expr: Expr): MetaM Protocol.BoundExpression := do
+def typeExprToBound (expr: Expr): MetaM Protocol.BoundExpression := do
   Meta.forallTelescope expr fun arr body => do
     let binders ← arr.mapM fun fvar => do
       return (toString (← fvar.fvarId!.getUserName), toString (← Meta.ppExpr (← fvar.fvarId!.getType)))
     return { binders, target := toString (← Meta.ppExpr body) }
 
-def name_to_ast (name: Name) (sanitize: Bool := true): String :=
+def serializeName (name: Name) (sanitize: Bool := true): String :=
   let internal := name.isInaccessibleUserName || name.hasMacroScopes
   if sanitize && internal then "_"
-  else toString name |> enclose_if_escaped
+  else toString name |> addQuotes
   where
-  enclose_if_escaped (n: String) :=
+  addQuotes (n: String) :=
     let quote := "\""
     if n.contains Lean.idBeginEscape then s!"{quote}{n}{quote}" else n
 
 /-- serialize a sort level. Expression is optimized to be compact e.g. `(+ u 2)` -/
-partial def serialize_sort_level_ast (level: Level) (sanitize: Bool): String :=
+partial def serializeSortLevel (level: Level) (sanitize: Bool): String :=
   let k := level.getOffset
   let u := level.getLevelOffset
   let u_str := match u with
     | .zero => "0"
     | .succ _ => panic! "getLevelOffset should not return .succ"
     | .max v w =>
-      let v := serialize_sort_level_ast v sanitize
-      let w := serialize_sort_level_ast w sanitize
+      let v := serializeSortLevel v sanitize
+      let w := serializeSortLevel w sanitize
       s!"(:max {v} {w})"
     | .imax v w =>
-      let v := serialize_sort_level_ast v sanitize
-      let w := serialize_sort_level_ast w sanitize
+      let v := serializeSortLevel v sanitize
+      let w := serializeSortLevel w sanitize
       s!"(:imax {v} {w})"
     | .param name =>
-      let name := name_to_ast name sanitize
+      let name := serializeName name sanitize
       s!"{name}"
     | .mvar id =>
-      let name := name_to_ast id.name sanitize
+      let name := serializeName id.name sanitize
       s!"(:mv {name})"
   match k, u with
   | 0, _ => u_str
   | _, .zero => s!"{k}"
   | _, _ => s!"(+ {u_str} {k})"
 
+
 /--
  Completely serializes an expression tree. Json not used due to compactness
+
+A `_` symbol in the AST indicates automatic deductions not present in the original expression.
 -/
-partial def serialize_expression_ast (expr: Expr) (sanitize: Bool := true): MetaM String := do
+partial def serializeExpressionSexp (expr: Expr) (sanitize: Bool := true): MetaM String := do
   self expr
   where
-  self (e: Expr): MetaM String :=
+  delayedMVarToSexp (e: Expr): MetaM (Option String) := do
+    let .some invocation ← toDelayedMVarInvocation e | return .none
+    let callee ← self $ .mvar invocation.mvarIdPending
+    let sites ← invocation.args.mapM (λ (fvarId, arg) => do
+        let arg := match arg with
+          | .some arg => arg
+          | .none => .fvar fvarId
+        self arg
+      )
+    let tailArgs ← invocation.tail.mapM self
+
+    let sites := " ".intercalate sites.toList
+    let result := if tailArgs.isEmpty then
+        s!"(:subst {callee} {sites})"
+      else
+        let tailArgs := " ".intercalate tailArgs.toList
+        s!"((:subst {callee} {sites}) {tailArgs})"
+    return .some result
+
+  self (e: Expr): MetaM String := do
+    if let .some result ← delayedMVarToSexp e then
+      return result
     match e with
     | .bvar deBruijnIndex =>
       -- This is very common so the index alone is shown. Literals are handled below.
@@ -99,13 +127,14 @@ partial def serialize_expression_ast (expr: Expr) (sanitize: Bool := true): Meta
       -- Lean these are handled using a `#` prefix.
       pure s!"{deBruijnIndex}"
     | .fvar fvarId =>
-      let name := of_name fvarId.name
+      let name := ofName fvarId.name
       pure s!"(:fv {name})"
-    | .mvar mvarId =>
-      let name := of_name mvarId.name
-      pure s!"(:mv {name})"
+    | .mvar mvarId => do
+        let pref := if ← mvarId.isDelayedAssigned then "mvd" else "mv"
+        let name := ofName mvarId.name
+        pure s!"(:{pref} {name})"
     | .sort level =>
-      let level := serialize_sort_level_ast level sanitize
+      let level := serializeSortLevel level sanitize
       pure s!"(:sort {level})"
     | .const declName _ =>
       -- The universe level of the const expression is elided since it should be
@@ -117,20 +146,20 @@ partial def serialize_expression_ast (expr: Expr) (sanitize: Bool := true): Meta
       let args := " ".intercalate args
       pure s!"({fn'} {args})"
     | .lam binderName binderType body binderInfo => do
-      let binderName' := of_name binderName
+      let binderName' := ofName binderName
       let binderType' ← self binderType
       let body' ← self body
-      let binderInfo' := binder_info_to_ast binderInfo
+      let binderInfo' := binderInfoSexp binderInfo
       pure s!"(:lambda {binderName'} {binderType'} {body'}{binderInfo'})"
     | .forallE binderName binderType body binderInfo => do
-      let binderName' := of_name binderName
+      let binderName' := ofName binderName
       let binderType' ← self binderType
       let body' ← self body
-      let binderInfo' := binder_info_to_ast binderInfo
+      let binderInfo' := binderInfoSexp binderInfo
       pure s!"(:forall {binderName'} {binderType'} {body'}{binderInfo'})"
     | .letE name type value body _ => do
       -- Dependent boolean flag diacarded
-      let name' := name_to_ast name
+      let name' := serializeName name
       let type' ← self type
       let value' ← self value
       let body' ← self body
@@ -146,36 +175,39 @@ partial def serialize_expression_ast (expr: Expr) (sanitize: Bool := true): Meta
       -- NOTE: Equivalent to expr itself, but mdata influences the prettyprinter
       -- It may become necessary to incorporate the metadata.
       self inner
-    | .proj typeName idx inner => do
+    | .proj _ _ _ => do
       let env ← getEnv
-      let fieldName := getStructureFields env typeName |>.get! idx
-      let projectorName := getProjFnForField? env typeName fieldName |>.get!
-      let e := Expr.app (.const  projectorName []) inner
-      self e
+      let projApp := exprProjToApp env e
+      let autos := String.intercalate " " (List.replicate projApp.numParams "_")
+      let inner ← self projApp.inner
+      pure s!"((:c {projApp.projector}) {autos} {inner})"
   -- Elides all unhygenic names
-  binder_info_to_ast : Lean.BinderInfo → String
+  binderInfoSexp : Lean.BinderInfo → String
     | .default => ""
     | .implicit => " :implicit"
     | .strictImplicit => " :strictImplicit"
     | .instImplicit => " :instImplicit"
-  of_name (name: Name) := name_to_ast name sanitize
+  ofName (name: Name) := serializeName name sanitize
 
-def serialize_expression (options: @&Protocol.Options) (e: Expr): MetaM Protocol.Expression := do
-  let pp := toString (← Meta.ppExpr e)
-  let pp?: Option String := match options.printExprPretty with
-    | true => .some pp
-    | false => .none
-  let sexp: String ← serialize_expression_ast e
-  let sexp?: Option String := match options.printExprAST with
-    | true => .some sexp
-    | false => .none
+def serializeExpression (options: @&Protocol.Options) (e: Expr): MetaM Protocol.Expression := do
+  let pp?: Option String ← match options.printExprPretty with
+    | true => pure $ .some $ toString $ ← Meta.ppExpr e
+    | false => pure $ .none
+  let sexp?: Option String ← match options.printExprAST with
+    | true => pure $ .some $ ← serializeExpressionSexp e
+    | false => pure $ .none
+  let dependentMVars? ← match options.printDependentMVars with
+    | true => pure $ .some $ (← Meta.getMVars e).map (λ mvarId => mvarId.name.toString)
+    | false => pure $ .none
   return {
     pp?,
     sexp?
+    dependentMVars?,
   }
 
+
 /-- Adapted from ppGoal -/
-def serialize_goal (options: @&Protocol.Options) (goal: MVarId) (mvarDecl: MetavarDecl) (parentDecl?: Option MetavarDecl)
+def serializeGoal (options: @&Protocol.Options) (goal: MVarId) (mvarDecl: MetavarDecl) (parentDecl?: Option MetavarDecl := .none)
       : MetaM Protocol.Goal := do
   -- Options for printing; See Meta.ppGoal for details
   let showLetValues  := true
@@ -187,40 +219,41 @@ def serialize_goal (options: @&Protocol.Options) (goal: MVarId) (mvarDecl: Metav
     let ppVarNameOnly (localDecl: LocalDecl): MetaM Protocol.Variable := do
       match localDecl with
       | .cdecl _ fvarId userName _ _ _ =>
-        let userName := userName.simpMacroScopes
         return {
-          name := of_name fvarId.name,
-          userName:= of_name userName.simpMacroScopes,
+          name := ofName fvarId.name,
+          userName:= ofName userName.simpMacroScopes,
+          isInaccessible := userName.isInaccessibleUserName
         }
       | .ldecl _ fvarId userName _ _ _ _ => do
         return {
-          name := of_name fvarId.name,
+          name := ofName fvarId.name,
           userName := toString userName.simpMacroScopes,
+          isInaccessible := userName.isInaccessibleUserName
         }
     let ppVar (localDecl : LocalDecl) : MetaM Protocol.Variable := do
       match localDecl with
       | .cdecl _ fvarId userName type _ _ =>
         let userName := userName.simpMacroScopes
-        let type ← instantiateMVars type
+        let type ← instantiate type
         return {
-          name := of_name fvarId.name,
-          userName:= of_name userName,
-          isInaccessible? := .some userName.isInaccessibleUserName
-          type? := .some (← serialize_expression options type)
+          name := ofName fvarId.name,
+          userName:= ofName userName,
+          isInaccessible := userName.isInaccessibleUserName
+          type? := .some (← serializeExpression options type)
         }
       | .ldecl _ fvarId userName type val _ _ => do
         let userName := userName.simpMacroScopes
-        let type ← instantiateMVars type
+        let type ← instantiate type
         let value? ← if showLetValues then
-          let val ← instantiateMVars val
-          pure $ .some (← serialize_expression options val)
+          let val ← instantiate val
+          pure $ .some (← serializeExpression options val)
         else
           pure $ .none
         return {
-          name := of_name fvarId.name,
-          userName:= of_name userName,
-          isInaccessible? := .some userName.isInaccessibleUserName
-          type? := .some (← serialize_expression options type)
+          name := ofName fvarId.name,
+          userName:= ofName userName,
+          isInaccessible := userName.isInaccessibleUserName
+          type? := .some (← serializeExpression options type)
           value? := value?
         }
     let vars ← lctx.foldlM (init := []) fun acc (localDecl : LocalDecl) => do
@@ -236,14 +269,15 @@ def serialize_goal (options: @&Protocol.Options) (goal: MVarId) (mvarDecl: Metav
           | false => ppVar localDecl
         return var::acc
     return {
-      name := of_name goal.name,
-      userName? := if mvarDecl.userName == .anonymous then .none else .some (of_name mvarDecl.userName),
+      name := ofName goal.name,
+      userName? := if mvarDecl.userName == .anonymous then .none else .some (ofName mvarDecl.userName),
       isConversion := isLHSGoal? mvarDecl.type |>.isSome,
-      target := (← serialize_expression options (← instantiateMVars mvarDecl.type)),
+      target := (← serializeExpression options (← instantiate mvarDecl.type)),
       vars := vars.reverse.toArray
     }
   where
-  of_name (n: Name) := name_to_ast n (sanitize := false)
+  instantiate := instantiateAll
+  ofName (n: Name) := serializeName n (sanitize := false)
 
 protected def GoalState.serializeGoals
       (state: GoalState)
@@ -252,64 +286,77 @@ protected def GoalState.serializeGoals
     MetaM (Array Protocol.Goal):= do
   state.restoreMetaM
   let goals := state.goals.toArray
-  let parentDecl? := parent.bind (λ parentState =>
-    let parentGoal := parentState.goals.get! state.parentGoalId
-    parentState.mctx.findDecl? parentGoal)
+  let parentDecl? := parent.bind (λ parentState => parentState.mctx.findDecl? state.parentMVar?.get!)
   goals.mapM fun goal => do
     match state.mctx.findDecl? goal with
     | .some mvarDecl =>
-      let serializedGoal ← serialize_goal options goal mvarDecl (parentDecl? := parentDecl?)
+      let serializedGoal ← serializeGoal options goal mvarDecl (parentDecl? := parentDecl?)
       pure serializedGoal
     | .none => throwError s!"Metavariable does not exist in context {goal.name}"
 
 /-- Print the metavariables in a readable format -/
-protected def GoalState.print (goalState: GoalState) (options: Protocol.GoalDiag := {}): MetaM Unit := do
+@[export pantograph_goal_state_diag_m]
+protected def GoalState.diag (goalState: GoalState) (parent?: Option GoalState := .none) (options: Protocol.GoalDiag := {}): CoreM String := do
+  let metaM: MetaM String := do
     goalState.restoreMetaM
     let savedState := goalState.savedState
     let goals := savedState.tactic.goals
     let mctx ← getMCtx
     let root := goalState.root
     -- Print the root
-  match mctx.decls.find? root with
+    let result: String ← match mctx.decls.find? root with
       | .some decl => printMVar ">" root decl
-  | .none => IO.println s!">{root.name}: ??"
-  goals.forM (fun mvarId => do
-    if mvarId != root then
+      | .none => pure s!">{root.name}: ??"
+    let resultGoals ← goals.filter (· != root) |>.mapM (fun mvarId =>
       match mctx.decls.find? mvarId with
       | .some decl => printMVar "⊢" mvarId decl
-      | .none => IO.println s!"⊢{mvarId.name}: ??"
+      | .none => pure s!"⊢{mvarId.name}: ??"
     )
     let goals := goals.toSSet
-  mctx.decls.forM (fun mvarId decl => do
-    if goals.contains mvarId || mvarId == root then
-      pure ()
-    -- Print the remainig ones that users don't see in Lean
-    else if options.printAll then
-      let pref := if goalState.newMVars.contains mvarId then "~" else " "
+    let resultOthers ← mctx.decls.toList.filter (λ (mvarId, _) =>
+        !(goals.contains mvarId || mvarId == root) && options.printAll)
+        |>.mapM (fun (mvarId, decl) => do
+          let pref := if parentHasMVar mvarId then " " else "~"
           printMVar pref mvarId decl
-    else
-      pure ()
-      --IO.println s!" {mvarId.name}{userNameToString decl.userName}"
         )
+    pure $ result ++ "\n" ++ (resultGoals.map (· ++ "\n") |> String.join) ++ (resultOthers.map (· ++ "\n") |> String.join)
+  metaM.run' {}
   where
-    printMVar (pref: String) (mvarId: MVarId) (decl: MetavarDecl): MetaM Unit := do
+    printMVar (pref: String) (mvarId: MVarId) (decl: MetavarDecl): MetaM String := mvarId.withContext do
+      let resultFVars: List String ←
         if options.printContext then
-        decl.lctx.fvarIdToDecl.forM printFVar
+          decl.lctx.fvarIdToDecl.toList.mapM (λ (fvarId, decl) =>
+            do pure $ (← printFVar fvarId decl) ++ "\n")
+        else
+          pure []
       let type ← if options.instantiate
-        then instantiateMVars decl.type
+        then instantiateAll decl.type
         else pure $ decl.type
-      let type_sexp ← serialize_expression_ast type (sanitize := false)
-      IO.println s!"{pref}{mvarId.name}{userNameToString decl.userName}: {← Meta.ppExpr decl.type} {type_sexp}"
+      let type_sexp ← if options.printSexp then
+          let sexp ← serializeExpressionSexp type (sanitize := false)
+          pure <| " " ++ sexp
+        else
+          pure ""
+      let resultMain: String := s!"{pref}{mvarId.name}{userNameToString decl.userName}: {← Meta.ppExpr decl.type}{type_sexp}"
+      let resultValue: String ←
         if options.printValue then
-        if let Option.some value := (← getMCtx).eAssignment.find? mvarId then
+          if let .some value ← getExprMVarAssignment? mvarId then
             let value ← if options.instantiate
-            then instantiateMVars value
+              then instantiateAll value
               else pure $ value
-          IO.println s!" := {← Meta.ppExpr value}"
-    printFVar (fvarId: FVarId) (decl: LocalDecl): MetaM Unit := do
-      IO.println s!" | {fvarId.name}{userNameToString decl.userName}: {← Meta.ppExpr decl.type}"
+            pure s!"\n := {← Meta.ppExpr value}"
+          else if let .some { mvarIdPending, .. } ← getDelayedMVarAssignment? mvarId then
+            pure s!"\n ::= {mvarIdPending.name}"
+          else
+            pure ""
+        else
+          pure ""
+      pure $ (String.join resultFVars) ++ resultMain ++ resultValue
+    printFVar (fvarId: FVarId) (decl: LocalDecl): MetaM String := do
+      pure s!" | {fvarId.name}{userNameToString decl.userName}: {← Meta.ppExpr decl.type}"
     userNameToString : Name → String
       | .anonymous => ""
       | other => s!"[{other}]"
+    parentHasMVar (mvarId: MVarId): Bool := parent?.map (λ state => state.mctx.decls.contains mvarId) |>.getD true
 
 end Pantograph

Pantograph/Tactic.lean

@@ -0,0 +1,5 @@
+import Pantograph.Tactic.Assign
+import Pantograph.Tactic.Congruence
+import Pantograph.Tactic.MotivatedApply
+import Pantograph.Tactic.NoConfuse
+import Pantograph.Tactic.Prograde

Pantograph/Tactic/Assign.lean

@@ -0,0 +1,31 @@
+import Lean
+
+open Lean
+
+namespace Pantograph.Tactic
+
+/-- WARNING: This should be used with a function like `elabTermWithHoles` that properly collects the mvar information from `expr`. -/
+def assign (goal: MVarId) (expr: Expr) (nextGoals: List MVarId): MetaM (List MVarId) := do
+  goal.checkNotAssigned `Pantograph.Tactic.assign
+
+  -- This run of the unifier is critical in resolving mvars in passing
+  let exprType ← Meta.inferType expr
+  let goalType ← goal.getType
+  unless ← Meta.isDefEq goalType exprType do
+    throwError s!"{← Meta.ppExpr expr} : {← Meta.ppExpr exprType} ≠ {← Meta.ppExpr goalType}"
+  goal.assign expr
+  nextGoals.filterM (not <$> ·.isAssigned)
+
+def evalAssign : Elab.Tactic.Tactic := fun stx => Elab.Tactic.withMainContext do
+  let target ← Elab.Tactic.getMainTarget
+  let goal ← Elab.Tactic.getMainGoal
+  goal.checkNotAssigned `Pantograph.Tactic.evalAssign
+  let (expr, nextGoals) ← Elab.Tactic.elabTermWithHoles stx
+    (expectedType? := .some target)
+    (tagSuffix := .anonymous )
+    (allowNaturalHoles := true)
+  goal.assign expr
+  Elab.Tactic.replaceMainGoal nextGoals
+
+
+end Pantograph.Tactic

Pantograph/Tactic/Congruence.lean

@@ -0,0 +1,98 @@
+import Lean
+
+open Lean
+
+namespace Pantograph.Tactic
+
+def congruenceArg (mvarId: MVarId): MetaM (List MVarId) := mvarId.withContext do
+  mvarId.checkNotAssigned `Pantograph.Tactic.congruenceArg
+  let target ← mvarId.getType
+  let .some (β, _, _) := (← instantiateMVars target).eq? | throwError "Goal is not an Eq"
+  let userName := (← mvarId.getDecl).userName
+
+  let u ← Meta.mkFreshLevelMVar
+  let α ← Meta.mkFreshExprSyntheticOpaqueMVar (mkSort u)
+    (tag := userName ++ `α)
+  let f ← Meta.mkFreshExprSyntheticOpaqueMVar (.forallE .anonymous α β .default)
+    (tag := userName ++ `f)
+  let a₁ ← Meta.mkFreshExprSyntheticOpaqueMVar α
+    (tag := userName ++ `a₁)
+  let a₂ ← Meta.mkFreshExprSyntheticOpaqueMVar α
+    (tag := userName ++ `a₂)
+  let h ← Meta.mkFreshExprSyntheticOpaqueMVar (← Meta.mkEq a₁ a₂)
+    (tag := userName ++ `h)
+  let conduitType ← Meta.mkEq (← Meta.mkEq (.app f a₁) (.app f a₂)) target
+  let conduit ← Meta.mkFreshExprSyntheticOpaqueMVar conduitType
+    (tag := userName ++ `conduit)
+  mvarId.assign $ ← Meta.mkEqMP conduit (← Meta.mkCongrArg f h)
+  let result := [α, a₁, a₂, f,  h, conduit]
+  return result.map (·.mvarId!)
+
+def evalCongruenceArg: Elab.Tactic.TacticM Unit := do
+  let goal ← Elab.Tactic.getMainGoal
+  let nextGoals ← congruenceArg goal
+  Elab.Tactic.replaceMainGoal nextGoals
+
+def congruenceFun (mvarId: MVarId): MetaM (List MVarId) := mvarId.withContext do
+  mvarId.checkNotAssigned `Pantograph.Tactic.congruenceFun
+  let target ← mvarId.getType
+  let .some (β, _, _) := (← instantiateMVars target).eq? | throwError "Goal is not an Eq"
+  let userName := (← mvarId.getDecl).userName
+  let u ← Meta.mkFreshLevelMVar
+  let α ← Meta.mkFreshExprSyntheticOpaqueMVar (mkSort u)
+    (tag := userName ++ `α)
+  let fType := .forallE .anonymous α β .default
+  let f₁ ← Meta.mkFreshExprSyntheticOpaqueMVar fType
+    (tag := userName ++ `f₁)
+  let f₂ ← Meta.mkFreshExprSyntheticOpaqueMVar fType
+    (tag := userName ++ `f₂)
+  let a ← Meta.mkFreshExprSyntheticOpaqueMVar α
+    (tag := userName ++ `a)
+  let h ← Meta.mkFreshExprSyntheticOpaqueMVar (← Meta.mkEq f₁ f₂)
+    (tag := userName ++ `h)
+  let conduitType ← Meta.mkEq (← Meta.mkEq (.app f₁ a) (.app f₂ a)) target
+  let conduit ← Meta.mkFreshExprSyntheticOpaqueMVar conduitType
+    (tag := userName ++ `conduit)
+  mvarId.assign $ ← Meta.mkEqMP conduit (← Meta.mkCongrFun h a)
+  let result := [α, f₁, f₂, h, a, conduit]
+  return result.map (·.mvarId!)
+
+def evalCongruenceFun: Elab.Tactic.TacticM Unit := do
+  let goal ← Elab.Tactic.getMainGoal
+  let nextGoals ← congruenceFun goal
+  Elab.Tactic.replaceMainGoal nextGoals
+
+def congruence (mvarId: MVarId): MetaM (List MVarId) := mvarId.withContext do
+  mvarId.checkNotAssigned `Pantograph.Tactic.congruence
+  let target ← mvarId.getType
+  let .some (β, _, _) := (← instantiateMVars target).eq? | throwError "Goal is not an Eq"
+  let userName := (← mvarId.getDecl).userName
+  let u ← Meta.mkFreshLevelMVar
+  let α ← Meta.mkFreshExprSyntheticOpaqueMVar (mkSort u)
+    (tag := userName ++ `α)
+  let fType := .forallE .anonymous α β .default
+  let f₁ ← Meta.mkFreshExprSyntheticOpaqueMVar fType
+    (tag := userName ++ `f₁)
+  let f₂ ← Meta.mkFreshExprSyntheticOpaqueMVar fType
+    (tag := userName ++ `f₂)
+  let a₁ ← Meta.mkFreshExprSyntheticOpaqueMVar α
+    (tag := userName ++ `a₁)
+  let a₂ ← Meta.mkFreshExprSyntheticOpaqueMVar α
+    (tag := userName ++ `a₂)
+  let h₁ ← Meta.mkFreshExprSyntheticOpaqueMVar (← Meta.mkEq f₁ f₂)
+    (tag := userName ++ `h₁)
+  let h₂ ← Meta.mkFreshExprSyntheticOpaqueMVar (← Meta.mkEq a₁ a₂)
+    (tag := userName ++ `h₂)
+  let conduitType ← Meta.mkEq (← Meta.mkEq (.app f₁ a₁) (.app f₂ a₂)) target
+  let conduit ← Meta.mkFreshExprSyntheticOpaqueMVar conduitType
+    (tag := userName ++ `conduit)
+  mvarId.assign $ ← Meta.mkEqMP conduit (← Meta.mkCongr h₁ h₂)
+  let result := [α, f₁, f₂, a₁, a₂, h₁, h₂, conduit]
+  return result.map (·.mvarId!)
+
+def evalCongruence: Elab.Tactic.TacticM Unit := do
+  let goal ← Elab.Tactic.getMainGoal
+  let nextGoals ← congruence goal
+  Elab.Tactic.replaceMainGoal nextGoals
+
+end Pantograph.Tactic

Pantograph/Tactic/MotivatedApply.lean

@@ -0,0 +1,106 @@
+import Lean
+
+open Lean
+
+namespace Pantograph.Tactic
+
+def getForallArgsBody: Expr → List Expr × Expr
+  | .forallE _ d b _ =>
+    let (innerArgs, innerBody) := getForallArgsBody b
+    (d :: innerArgs, innerBody)
+  | e => ([], e)
+
+def replaceForallBody: Expr → Expr → Expr
+  | .forallE param domain body binderInfo, target =>
+    let body := replaceForallBody body target
+    .forallE param domain body binderInfo
+  | _, target => target
+
+structure RecursorWithMotive where
+  args: List Expr
+  body: Expr
+
+  -- .bvar index for the motive and major from the body
+  iMotive: Nat
+
+namespace RecursorWithMotive
+
+protected def nArgs (info: RecursorWithMotive): Nat := info.args.length
+
+protected def getMotiveType (info: RecursorWithMotive): Expr :=
+  let level := info.nArgs - info.iMotive - 1
+  let a := info.args.get! level
+  a
+
+protected def surrogateMotiveType (info: RecursorWithMotive) (mvars: Array Expr) (resultant: Expr): MetaM Expr := do
+  let motiveType := Expr.instantiateRev info.getMotiveType mvars
+  let resultantType ← Meta.inferType resultant
+  return replaceForallBody motiveType resultantType
+
+protected def conduitType (info: RecursorWithMotive) (mvars: Array Expr) (resultant: Expr): MetaM Expr := do
+  let motiveCall := Expr.instantiateRev info.body mvars
+  Meta.mkEq motiveCall resultant
+
+end RecursorWithMotive
+
+def getRecursorInformation (recursorType: Expr): Option RecursorWithMotive := do
+  let (args, body) := getForallArgsBody recursorType
+  if ¬ body.isApp then
+    .none
+  let iMotive ← match body.getAppFn with
+    | .bvar iMotive => pure iMotive
+    | _ => .none
+  return {
+    args,
+    body,
+    iMotive,
+  }
+
+def collectMotiveArguments (forallBody: Expr): SSet Nat :=
+  match forallBody with
+  | .app (.bvar i) _ => SSet.empty.insert i
+  | _ => SSet.empty
+
+/-- Applies a symbol of the type `∀ (motive: α → Sort u) (a: α)..., (motive α)` -/
+def motivatedApply (mvarId: MVarId) (recursor: Expr) : MetaM (Array Meta.InductionSubgoal) := mvarId.withContext do
+  mvarId.checkNotAssigned `Pantograph.Tactic.motivatedApply
+  let recursorType ← Meta.inferType recursor
+  let resultant ← mvarId.getType
+  let tag ← mvarId.getTag
+
+  let info ← match getRecursorInformation recursorType with
+    | .some info => pure info
+    | .none => throwError "Recursor return type does not correspond with the invocation of a motive: {← Meta.ppExpr recursorType}"
+
+  let rec go (i: Nat) (prev: Array Expr): MetaM (Array Expr) := do
+    if i ≥ info.nArgs then
+      return prev
+    else
+      let argType := info.args.get! i
+      -- If `argType` has motive references, its goal needs to be placed in it
+      let argType := argType.instantiateRev prev
+      let bvarIndex := info.nArgs - i - 1
+      let argGoal ← if bvarIndex = info.iMotive then
+          let surrogateMotiveType ← info.surrogateMotiveType prev resultant
+          Meta.mkFreshExprSyntheticOpaqueMVar surrogateMotiveType (tag := tag ++ `motive)
+        else
+          Meta.mkFreshExprSyntheticOpaqueMVar argType (tag := .anonymous)
+      let prev :=  prev ++ [argGoal]
+      go (i + 1) prev
+    termination_by info.nArgs - i
+  let mut newMVars ← go 0 #[]
+
+  -- Create the conduit type which proves the result of the motive is equal to the goal
+  let conduitType ← info.conduitType newMVars resultant
+  let goalConduit ← Meta.mkFreshExprSyntheticOpaqueMVar conduitType (tag := `conduit)
+  mvarId.assign $ ← Meta.mkEqMP goalConduit (mkAppN recursor newMVars)
+  newMVars := newMVars ++ [goalConduit]
+
+  return newMVars.map (λ mvar => { mvarId := mvar.mvarId!})
+
+def evalMotivatedApply : Elab.Tactic.Tactic := fun stx => Elab.Tactic.withMainContext do
+  let recursor ← Elab.Term.elabTerm (stx := stx) .none
+  let nextGoals ← motivatedApply (← Elab.Tactic.getMainGoal) recursor
+  Elab.Tactic.replaceMainGoal $ nextGoals.toList.map (·.mvarId)
+
+end Pantograph.Tactic

Pantograph/Tactic/NoConfuse.lean

@@ -0,0 +1,22 @@
+import Lean
+
+open Lean
+
+namespace Pantograph.Tactic
+
+def noConfuse (mvarId: MVarId) (h: Expr): MetaM Unit := mvarId.withContext do
+  mvarId.checkNotAssigned `Pantograph.Tactic.noConfuse
+  let target ← mvarId.getType
+  let noConfusion ← Meta.mkNoConfusion (target := target) (h := h)
+
+  unless ← Meta.isDefEq (← Meta.inferType noConfusion) target do
+    throwError "invalid noConfuse call: The resultant type {← Meta.ppExpr $ ← Meta.inferType noConfusion} cannot be unified with {← Meta.ppExpr target}"
+  mvarId.assign noConfusion
+
+def evalNoConfuse: Elab.Tactic.Tactic := λ stx => do
+  let goal ← Elab.Tactic.getMainGoal
+  let h ← goal.withContext $ Elab.Term.elabTerm (stx := stx) .none
+  noConfuse goal h
+  Elab.Tactic.replaceMainGoal []
+
+end Pantograph.Tactic

Pantograph/Tactic/Prograde.lean

@@ -0,0 +1,88 @@
+/- Prograde (forward) reasoning tactics -/
+
+import Lean
+open Lean
+
+namespace Pantograph.Tactic
+
+private def mkUpstreamMVar (goal: MVarId) : MetaM Expr := do
+  Meta.mkFreshExprSyntheticOpaqueMVar (← goal.getType) (tag := ← goal.getTag)
+
+
+/-- Introduces a fvar to the current mvar -/
+def define (mvarId: MVarId) (binderName: Name) (expr: Expr): MetaM (FVarId × MVarId) := mvarId.withContext do
+  mvarId.checkNotAssigned `Pantograph.Tactic.define
+  let type ← Meta.inferType expr
+
+  Meta.withLetDecl binderName type expr λ fvar => do
+    let mvarUpstream ← mkUpstreamMVar mvarId
+    mvarId.assign $ ← Meta.mkLetFVars #[fvar] mvarUpstream
+    pure (fvar.fvarId!, mvarUpstream.mvarId!)
+
+def evalDefine (binderName: Name) (expr: Syntax): Elab.Tactic.TacticM Unit := do
+  let goal ← Elab.Tactic.getMainGoal
+  let expr ← goal.withContext $ Elab.Term.elabTerm (stx := expr) (expectedType? := .none)
+  let (_, mvarId) ← define goal binderName expr
+  Elab.Tactic.replaceMainGoal [mvarId]
+
+structure BranchResult where
+  fvarId?: Option FVarId := .none
+  branch: MVarId
+  main: MVarId
+
+def «have» (mvarId: MVarId) (binderName: Name) (type: Expr): MetaM BranchResult := mvarId.withContext do
+  mvarId.checkNotAssigned `Pantograph.Tactic.have
+  let lctx ← MonadLCtx.getLCtx
+  -- The branch goal inherits the same context, but with a different type
+  let mvarBranch ← Meta.mkFreshExprMVarAt lctx (← Meta.getLocalInstances) type
+
+  -- Create the context for the `upstream` goal
+  let fvarId ← mkFreshFVarId
+  let lctxUpstream := lctx.mkLocalDecl fvarId binderName type
+  let mvarUpstream ←
+    withTheReader Meta.Context (fun ctx => { ctx with lctx := lctxUpstream }) do
+      Meta.withNewLocalInstances #[.fvar fvarId] 0 do
+        let mvarUpstream ← mkUpstreamMVar mvarId
+        --let expr: Expr := .app (.lam binderName type mvarBranch .default) mvarUpstream
+        mvarId.assign $ ← Meta.mkLambdaFVars #[.fvar fvarId] mvarUpstream
+        pure mvarUpstream
+
+  return {
+    fvarId? := .some fvarId,
+    branch := mvarBranch.mvarId!,
+    main := mvarUpstream.mvarId!,
+  }
+
+def evalHave (binderName: Name) (type: Syntax): Elab.Tactic.TacticM Unit := do
+  let goal ← Elab.Tactic.getMainGoal
+  let nextGoals: List MVarId ← goal.withContext do
+    let type ← Elab.Term.elabType (stx := type)
+    let result ← «have» goal binderName type
+    pure [result.branch, result.main]
+  Elab.Tactic.replaceMainGoal nextGoals
+
+def «let» (mvarId: MVarId) (binderName: Name) (type: Expr): MetaM BranchResult := mvarId.withContext do
+  mvarId.checkNotAssigned `Pantograph.Tactic.let
+  let lctx ← MonadLCtx.getLCtx
+
+  -- The branch goal inherits the same context, but with a different type
+  let mvarBranch ← Meta.mkFreshExprMVarAt lctx (← Meta.getLocalInstances) type (userName := binderName)
+
+  assert! ¬ type.hasLooseBVars
+  let mvarUpstream ← Meta.withLetDecl binderName type mvarBranch $ λ fvar => do
+    let mvarUpstream ← mkUpstreamMVar mvarId
+    mvarId.assign $ ← Meta.mkLetFVars #[fvar] mvarUpstream
+    pure mvarUpstream
+
+  return {
+    branch := mvarBranch.mvarId!,
+    main := mvarUpstream.mvarId!,
+  }
+
+def evalLet (binderName: Name) (type: Syntax): Elab.Tactic.TacticM Unit := do
+  let goal ← Elab.Tactic.getMainGoal
+  let type ← goal.withContext $ Elab.Term.elabType (stx := type)
+  let result ← «let» goal binderName type
+  Elab.Tactic.replaceMainGoal [result.branch, result.main]
+
+end Pantograph.Tactic

Pantograph/Version.lean

@@ -1,6 +1,6 @@
 namespace Pantograph
 
 @[export pantograph_version]
-def version := "0.2.14"
+def version := "0.2.19"
 
 end Pantograph

README.md

@@ -9,21 +9,17 @@ examine the symbol list of a Lean project for machine learning.
 
 ## Installation
 
-For Nix based workflow, see below.
-
-Install `elan` and `lake`. Execute
+For Nix users, run
 ``` sh
-make build/bin/pantograph
+nix build .#{sharedLib,executable}
 ```
-setup the `LEAN_PATH` environment variable so it contains the library path of lean libraries. The libraries must be built in advance. For example, if `mathlib4` is stored at `../lib/mathlib4`,
-``` sh
-LIB="../lib"
-LIB_MATHLIB="$LIB/mathlib4/lake-packages"
-export LEAN_PATH="$LIB/mathlib4/build/lib:$LIB_MATHLIB/aesop/build/lib:$LIB_MATHLIB/Qq/build/lib:$LIB_MATHLIB/std/build/lib"
+to build either the shared library or executable.
 
-LEAN_PATH=$LEAN_PATH build/bin/pantograph $@
+Install `elan` and `lake`, and run
+``` sh
+lake build
 ```
-The provided `flake.nix` has a develop environment with Lean already setup.
+This builds the executable in `.lake/build/bin/pantograph-repl`.
 
 ## Executable Usage
 
@@ -71,28 +67,51 @@ where the application of `assumption` should lead to a failure.
 ### Commands
 
 See `Pantograph/Protocol.lean` for a description of the parameters and return values in JSON.
-- `reset`: Delete all cached expressions and proof trees
-- `expr.echo {"expr": <expr>}`: Determine the type of an expression and round-trip it
-- `env.catalog`: Display a list of all safe Lean symbols in the current environment
-- `env.inspect {"name": <name>, "value": <bool>}`: Show the type and package of a
+* `reset`: Delete all cached expressions and proof trees
+* `stat`: Display resource usage
+* `expr.echo {"expr": <expr>, "type": <optional expected type>, ["levels": [<levels>]]}`: Determine the
+  type of an expression and format it.
+* `env.catalog`: Display a list of all safe Lean symbols in the current environment
+* `env.inspect {"name": <name>, "value": <bool>}`: Show the type and package of a
   given symbol; If value flag is set, the value is printed or hidden. By default
   only the values of definitions are printed.
-- `options.set { key: value, ... }`: Set one or more options (not Lean options; those
+* `options.set { key: value, ... }`: Set one or more options (not Lean options; those
   have to be set via command line arguments.), for options, see `Pantograph/Protocol.lean`
-- `options.print`: Display the current set of options
-- `goal.start {["name": <name>], ["expr": <expr>], ["copyFrom": <symbol>]}`: Start a new goal from a given expression or symbol
-- `goal.tactic {"stateId": <id>, "goalId": <id>, ["tactic": <tactic>], ["expr": <expr>]}`: Execute a tactic string on a given goal
-- `goal.continue {"stateId": <id>, ["branch": <id>], ["goals": <names>]}`: Continue from a proof state
-- `goal.remove {"stateIds": [<id>]}"`: Remove a bunch of stored goals.
-- `goal.print {"stateId": <id>}"`: Print a goal state
-- `stat`: Display resource usage
+
+  One particular option for interest for machine learning researchers is the
+  automatic mode (flag: `"automaticMode"`).  By default it is turned on, with
+  all goals automatically resuming. This makes Pantograph act like a gym,
+  with no resumption necessary to manage your goals.
+* `options.print`: Display the current set of options
+* `goal.start {["name": <name>], ["expr": <expr>], ["levels": [<levels>]], ["copyFrom": <symbol>]}`:
+  Start a new proof from a given expression or symbol
+* `goal.tactic {"stateId": <id>, "goalId": <id>, ...}`: Execute a tactic string on a
+  given goal. The tactic is supplied as additional key-value pairs in one of the following formats:
+  - `{ "tactic": <tactic> }`: Execute an ordinary tactic
+  - `{ "expr": <expr> }`: Assign the given proof term to the current goal
+  - `{ "have": <expr>, "binderName": <name> }`: Execute `have` and creates a branch goal
+  - `{ "calc": <expr> }`: Execute one step of a `calc` tactic. Each step must
+    be of the form `lhs op rhs`. An `lhs` of `_` indicates that it should be set
+    to the previous `rhs`.
+  - `{ "conv": <bool> }`: Enter or exit conversion tactic mode. In the case of
+    exit, the goal id is ignored.
+* `goal.continue {"stateId": <id>, ["branch": <id>], ["goals": <names>]}`:
+  Execute continuation/resumption
+  - `{ "branch": <id> }`: Continue on branch state. The current state must have no goals.
+  - `{ "goals": <names> }`: Resume the given goals
+* `goal.remove {"stateIds": [<id>]}"`: Drop the goal states specified in the list
+* `goal.print {"stateId": <id>}"`: Print a goal state
+* `frontend.process { ["fileName": <fileName>",] ["file": <str>], invocations:
+  <bool>, sorrys: <bool> }`: Executes the Lean frontend on a file, collecting
+  either the tactic invocations (`"invocations": true`) or the sorrys into goal
+  states (`"sorrys": true`)
 
 ### Errors
 
 When an error pertaining to the execution of a command happens, the returning JSON structure is
 
 ``` json
-{ error: "type", desc: "description" }
+{ "error": "type", "desc": "description" }
 ```
 Common error forms:
 * `command`: Indicates malformed command structure which results from either
@@ -102,6 +121,25 @@ Common error forms:
   input of another is broken. For example, attempting to query a symbol not
   existing in the library or indexing into a non-existent proof state.
 
+### Project Environment
+
+To use Pantograph in a project environment, setup the `LEAN_PATH` environment
+variable so it contains the library path of lean libraries. The libraries must
+be built in advance. For example, if `mathlib4` is stored at `../lib/mathlib4`,
+the environment might be setup like this:
+
+``` sh
+LIB="../lib"
+LIB_MATHLIB="$LIB/mathlib4/lake-packages"
+export LEAN_PATH="$LIB/mathlib4/build/lib:$LIB_MATHLIB/aesop/build/lib:$LIB_MATHLIB/Qq/build/lib:$LIB_MATHLIB/std/build/lib"
+
+LEAN_PATH=$LEAN_PATH build/bin/pantograph $@
+```
+The `$LEAN_PATH` executable of any project can be extracted by
+``` sh
+lake env printenv LEAN_PATH
+```
+
 ### Troubleshooting
 
 If lean encounters stack overflow problems when printing catalog, execute this before running lean:
@@ -115,25 +153,28 @@ ulimit -s unlimited
 with `Pantograph` which mirrors the REPL commands above. It is recommended to
 call Pantograph via this FFI since it provides a tremendous speed up.
 
+The executable can be used as-is, but linking against the shared library
+requires the presence of `lean-all`. Note that there isn't a 1-1 correspondence
+between executable (REPL) commands and library functions.
+
+Inject any project path via the `pantograph_init_search` function.
+
 ## Developing
 
+A Lean development shell is provided in the Nix flake.
+
 ### Testing
 
-The tests are based on `LSpec`. To run tests,
+The tests are based on `LSpec`. To run tests, use either
 ``` sh
-make test
+nix flake check
 ```
-
-## Nix based workflow
-
-The included Nix flake provides build targets for `sharedLib` and `executable`.
-The executable can be used as-is, but linking against the shared library
-requires the presence of `lean-all`.
-
-To run tests:
+or
 ``` sh
-nix build .#checks.${system}.test
+lake test
 ```
+You can run an individual test by specifying a prefix
 
-For example, `${system}` could be `x86_64-linux`. Using `nix develop` drops the
-current session into a development shell with fixed Lean version.
+``` sh
+lake test -- "Tactic/No Confuse"
+```

Repl.lean

@@ -0,0 +1,260 @@
+import Std.Data.HashMap
+import Pantograph
+
+namespace Pantograph.Repl
+
+structure Context where
+  imports: List String
+
+/-- Stores state of the REPL -/
+structure State where
+  options: Protocol.Options := {}
+  nextId: Nat := 0
+  goalStates: Std.HashMap Nat GoalState := Std.HashMap.empty
+
+/-- Main state monad for executing commands -/
+abbrev MainM := ReaderT Context (StateT State Lean.CoreM)
+
+-- HACK: For some reason writing `CommandM α := MainM (Except ... α)` disables
+-- certain monadic features in `MainM`
+abbrev CR α := Except Protocol.InteractionError α
+
+def runMetaInMainM { α } (metaM: Lean.MetaM α): MainM α :=
+  metaM.run'
+def runTermElabInMainM { α } (termElabM: Lean.Elab.TermElabM α) : MainM α :=
+  termElabM.run' (ctx := Condensed.elabContext) |>.run'
+
+def execute (command: Protocol.Command): MainM Lean.Json := do
+  let run { α β: Type } [Lean.FromJson α] [Lean.ToJson β] (comm: α → MainM (CR β)): MainM Lean.Json :=
+    match Lean.fromJson? command.payload with
+    | .ok args => do
+      match (← comm args) with
+      | .ok result =>  return Lean.toJson result
+      | .error ierror => return Lean.toJson ierror
+    | .error error => return Lean.toJson $ errorCommand s!"Unable to parse json: {error}"
+  match command.cmd with
+  | "reset"         => run reset
+  | "stat"          => run stat
+  | "expr.echo"     => run expr_echo
+  | "env.catalog"   => run env_catalog
+  | "env.inspect"   => run env_inspect
+  | "env.add"       => run env_add
+  | "options.set"   => run options_set
+  | "options.print" => run options_print
+  | "goal.start"    => run goal_start
+  | "goal.tactic"   => run goal_tactic
+  | "goal.continue" => run goal_continue
+  | "goal.delete"   => run goal_delete
+  | "goal.print"    => run goal_print
+  | "frontend.process"  => run frontend_process
+  | cmd =>
+    let error: Protocol.InteractionError :=
+      errorCommand s!"Unknown command {cmd}"
+    return Lean.toJson error
+  where
+  errorCommand := errorI "command"
+  errorIndex := errorI "index"
+  newGoalState (goalState: GoalState) : MainM Nat := do
+    let state ← get
+    let stateId := state.nextId
+    set { state with
+      goalStates := state.goalStates.insert stateId goalState,
+      nextId := state.nextId + 1
+    }
+    return stateId
+  -- Command Functions
+  reset (_: Protocol.Reset): MainM (CR Protocol.StatResult) := do
+    let state ← get
+    let nGoals := state.goalStates.size
+    set { state with nextId := 0, goalStates := .empty }
+    return .ok { nGoals }
+  stat (_: Protocol.Stat): MainM (CR Protocol.StatResult) := do
+    let state ← get
+    let nGoals := state.goalStates.size
+    return .ok { nGoals }
+  env_catalog (args: Protocol.EnvCatalog): MainM (CR Protocol.EnvCatalogResult) := do
+    let result ← Environment.catalog args
+    return .ok result
+  env_inspect (args: Protocol.EnvInspect): MainM (CR Protocol.EnvInspectResult) := do
+    let state ← get
+    Environment.inspect args state.options
+  env_add (args: Protocol.EnvAdd): MainM (CR Protocol.EnvAddResult) := do
+    Environment.addDecl args
+  expr_echo (args: Protocol.ExprEcho): MainM (CR Protocol.ExprEchoResult) := do
+    let state ← get
+    exprEcho args.expr (expectedType? := args.type?) (levels := args.levels.getD #[]) (options := state.options)
+  options_set (args: Protocol.OptionsSet): MainM (CR Protocol.OptionsSetResult) := do
+    let state ← get
+    let options := state.options
+    set { state with
+      options := {
+        -- FIXME: This should be replaced with something more elegant
+        printJsonPretty := args.printJsonPretty?.getD options.printJsonPretty,
+        printExprPretty := args.printExprPretty?.getD options.printExprPretty,
+        printExprAST := args.printExprAST?.getD options.printExprAST,
+        printDependentMVars := args.printDependentMVars?.getD options.printDependentMVars,
+        noRepeat := args.noRepeat?.getD options.noRepeat,
+        printAuxDecls := args.printAuxDecls?.getD options.printAuxDecls,
+        printImplementationDetailHyps := args.printImplementationDetailHyps?.getD options.printImplementationDetailHyps
+        automaticMode := args.automaticMode?.getD options.automaticMode,
+      }
+    }
+    return .ok {  }
+  options_print (_: Protocol.OptionsPrint): MainM (CR Protocol.Options) := do
+    return .ok (← get).options
+  goal_start (args: Protocol.GoalStart): MainM (CR Protocol.GoalStartResult) := do
+    let env ← Lean.MonadEnv.getEnv
+    let expr?: Except _ GoalState ← runTermElabInMainM (match args.expr, args.copyFrom with
+      | .some expr, .none => goalStartExpr expr (args.levels.getD #[])
+      | .none, .some copyFrom =>
+        (match env.find? <| copyFrom.toName with
+        | .none => return .error <| errorIndex s!"Symbol not found: {copyFrom}"
+        | .some cInfo => return .ok (← GoalState.create cInfo.type))
+      | _, _ =>
+        return .error <| errorI "arguments" "Exactly one of {expr, copyFrom} must be supplied")
+    match expr? with
+    | .error error => return .error error
+    | .ok goalState =>
+      let stateId ← newGoalState goalState
+      return .ok { stateId, root := goalState.root.name.toString }
+  goal_tactic (args: Protocol.GoalTactic): MainM (CR Protocol.GoalTacticResult) := do
+    let state ← get
+    let .some goalState := state.goalStates[args.stateId]? |
+      return .error $ errorIndex s!"Invalid state index {args.stateId}"
+    let .some goal := goalState.goals.get? args.goalId |
+      return .error $ errorIndex s!"Invalid goal index {args.goalId}"
+    let nextGoalState?: Except _ TacticResult ← runTermElabInMainM do
+      match args.tactic?, args.expr?, args.have?, args.let?, args.calc?, args.conv?  with
+      | .some tactic, .none, .none, .none, .none, .none => do
+        pure <| Except.ok <| ← goalState.tryTactic goal tactic
+      | .none, .some expr, .none, .none, .none, .none => do
+        pure <| Except.ok <| ← goalState.tryAssign goal expr
+      | .none, .none, .some type, .none, .none, .none => do
+        let binderName := args.binderName?.getD ""
+        pure <| Except.ok <| ← goalState.tryHave goal binderName type
+      | .none, .none, .none, .some type, .none, .none => do
+        let binderName := args.binderName?.getD ""
+        pure <| Except.ok <| ← goalState.tryLet goal binderName type
+      | .none, .none, .none, .none, .some pred, .none => do
+        pure <| Except.ok <| ← goalState.tryCalc goal pred
+      | .none, .none, .none, .none, .none, .some true => do
+        pure <| Except.ok <| ← goalState.conv goal
+      | .none, .none, .none, .none, .none, .some false => do
+        pure <| Except.ok <| ← goalState.convExit
+      | _, _, _, _, _, _ =>
+        let error := errorI "arguments" "Exactly one of {tactic, expr, have, calc, conv} must be supplied"
+        pure $ Except.error $ error
+    match nextGoalState? with
+    | .error error => return .error error
+    | .ok (.success nextGoalState) => do
+      let nextGoalState ← match state.options.automaticMode, args.conv? with
+        | true, .none => do
+          let .ok result := nextGoalState.resume (nextGoalState.goals ++ goalState.goals) |
+            throwError "Resuming known goals"
+          pure result
+        | true, .some true => pure nextGoalState
+        | true, .some false => do
+          let .some (_, _, dormantGoals) := goalState.convMVar? |
+            throwError "If conv exit succeeded this should not fail"
+          let .ok result := nextGoalState.resume (nextGoalState.goals ++ dormantGoals) |
+            throwError "Resuming known goals"
+          pure result
+        | false, _ => pure nextGoalState
+      let nextStateId ← newGoalState nextGoalState
+      let goals ← nextGoalState.serializeGoals (parent := .some goalState) (options := state.options) |>.run'
+      return .ok {
+        nextStateId? := .some nextStateId,
+        goals? := .some goals,
+      }
+    | .ok (.parseError message) =>
+      return .ok { parseError? := .some message }
+    | .ok (.invalidAction message) =>
+      return .error $ errorI "invalid" message
+    | .ok (.failure messages) =>
+      return .ok { tacticErrors? := .some messages }
+  goal_continue (args: Protocol.GoalContinue): MainM (CR Protocol.GoalContinueResult) := do
+    let state ← get
+    let .some target := state.goalStates[args.target]? |
+      return .error $ errorIndex s!"Invalid state index {args.target}"
+    let nextState? ← match args.branch?, args.goals? with
+      | .some branchId, .none => do
+        match state.goalStates[branchId]? with
+        | .none => return .error $ errorIndex s!"Invalid state index {branchId}"
+        | .some branch => pure $ target.continue branch
+      | .none, .some goals =>
+        pure $ goalResume target goals
+      | _, _ => return .error <| errorI "arguments" "Exactly one of {branch, goals} must be supplied"
+    match nextState? with
+    | .error error => return .error <| errorI "structure" error
+    | .ok nextGoalState =>
+      let nextStateId := state.nextId
+      set { state with
+        goalStates := state.goalStates.insert nextStateId nextGoalState,
+        nextId := state.nextId + 1
+      }
+      let goals ← goalSerialize nextGoalState (options := state.options)
+      return .ok {
+        nextStateId,
+        goals,
+      }
+  goal_delete (args: Protocol.GoalDelete): MainM (CR Protocol.GoalDeleteResult) := do
+    let state ← get
+    let goalStates := args.stateIds.foldl (λ map id => map.erase id) state.goalStates
+    set { state with goalStates }
+    return .ok {}
+  goal_print (args: Protocol.GoalPrint): MainM (CR Protocol.GoalPrintResult) := do
+    let state ← get
+    let .some goalState := state.goalStates[args.stateId]? |
+      return .error $ errorIndex s!"Invalid state index {args.stateId}"
+    let result ← runMetaInMainM <| goalPrint goalState state.options
+    return .ok result
+  frontend_process (args: Protocol.FrontendProcess): MainM (CR Protocol.FrontendProcessResult) := do
+    let options := (← get).options
+    try
+      let (fileName, file) ← match args.fileName?, args.file? with
+        | .some fileName, .none => do
+          let file ← IO.FS.readFile fileName
+          pure (fileName, file)
+        | .none, .some file =>
+          pure ("<anonymous>", file)
+        | _, _ => return .error <| errorI "arguments" "Exactly one of {fileName, file} must be supplied"
+      let env?: Option Lean.Environment ← if args.fileName?.isSome then
+          pure .none
+        else do
+          let env ← Lean.MonadEnv.getEnv
+          pure <| .some env
+      let (context, state) ← do Frontend.createContextStateFromFile file fileName env? {}
+      let frontendM := Frontend.mapCompilationSteps λ step => do
+        let boundary := (step.src.startPos.byteIdx, step.src.stopPos.byteIdx)
+        let invocations?: Option (List Protocol.InvokedTactic) ← if args.invocations then
+            let invocations ← Frontend.collectTacticsFromCompilationStep step
+            pure $ .some invocations
+          else
+            pure .none
+        let sorrys := if args.sorrys then
+            Frontend.collectSorrys step
+          else
+            []
+        let messages ← step.messageStrings
+        return (step.before, boundary, invocations?, sorrys, messages)
+      let li ← frontendM.run context |>.run' state
+      let units ← li.mapM λ (env, boundary, invocations?, sorrys, messages) => Lean.withEnv env do
+        let (goalStateId?, goals) ← if sorrys.isEmpty then do
+            pure (.none, #[])
+          else do
+            let goalState ← runMetaInMainM $ Frontend.sorrysToGoalState sorrys
+            let stateId ← newGoalState goalState
+            let goals ← goalSerialize goalState options
+            pure (.some stateId, goals)
+        return {
+          boundary,
+          invocations?,
+          goalStateId?,
+          goals,
+          messages,
+        }
+      return .ok { units }
+    catch e =>
+      return .error $ errorI "frontend" (← e.toMessageData.toString)
+
+end Pantograph.Repl

Test/Common.lean

@@ -1,6 +1,7 @@
 import Pantograph.Goal
 import Pantograph.Library
 import Pantograph.Protocol
+import Pantograph.Condensed
 import Lean
 import LSpec
 
@@ -8,38 +9,80 @@ open Lean
 
 namespace Pantograph
 
+deriving instance Repr for Expr
+-- Use strict equality check for expressions
+instance : BEq Expr := ⟨Expr.equal⟩
+
+def uniq (n: Nat): Name := .num (.str .anonymous "_uniq") n
+
+-- Auxiliary functions
 namespace Protocol
-/-- Set internal names to "" -/
-def Goal.devolatilize (goal: Goal): Goal :=
+def Goal.devolatilizeVars (goal: Goal): Goal :=
   {
     goal with
-    name := "",
     vars := goal.vars.map removeInternalAux,
+
   }
   where removeInternalAux (v: Variable): Variable :=
     {
       v with
       name := ""
     }
+/-- Set internal names to "" -/
+def Goal.devolatilize (goal: Goal): Goal :=
+  {
+    goal.devolatilizeVars with
+    name := "",
+  }
+
+deriving instance DecidableEq, Repr for Name
 deriving instance DecidableEq, Repr for Expression
 deriving instance DecidableEq, Repr for Variable
 deriving instance DecidableEq, Repr for Goal
+deriving instance DecidableEq, Repr for ExprEchoResult
+deriving instance DecidableEq, Repr for InteractionError
+deriving instance DecidableEq, Repr for Option
 end Protocol
 
+namespace Condensed
+
+deriving instance BEq, Repr for LocalDecl
+deriving instance BEq, Repr for Goal
+
+protected def LocalDecl.devolatilize (decl: LocalDecl): LocalDecl :=
+  {
+    decl with fvarId := { name := .anonymous }
+  }
+protected def Goal.devolatilize (goal: Goal): Goal :=
+  {
+    goal with
+    mvarId := { name := .anonymous },
+    context := goal.context.map LocalDecl.devolatilize
+  }
+
+end Condensed
+
+def GoalState.get! (state: GoalState) (i: Nat): MVarId := state.goals.get! i
+def GoalState.tacticOn (state: GoalState) (goalId: Nat) (tactic: String) := state.tryTactic (state.goals.get! goalId) tactic
+
 def TacticResult.toString : TacticResult → String
   | .success state => s!".success ({state.goals.length} goals)"
   | .failure messages =>
     let messages := "\n".intercalate messages.toList
     s!".failure {messages}"
   | .parseError error => s!".parseError {error}"
-  | .indexError index => s!".indexError {index}"
+  | .invalidAction error => s!".invalidAction {error}"
 
+namespace Test
+
+def expectationFailure (desc: String) (error: String): LSpec.TestSeq := LSpec.test desc (LSpec.ExpectationFailure "ok _" error)
 def assertUnreachable (message: String): LSpec.TestSeq := LSpec.check message false
 
-open Lean
+def parseFailure (error: String) := expectationFailure "parse" error
+def elabFailure (error: String) := expectationFailure "elab" error
 
-def runCoreMSeq (env: Environment) (coreM: CoreM LSpec.TestSeq): IO LSpec.TestSeq := do
-  let coreContext: Core.Context ← createCoreContext #[]
+def runCoreMSeq (env: Environment) (coreM: CoreM LSpec.TestSeq) (options: Array String := #[]): IO LSpec.TestSeq := do
+  let coreContext: Core.Context ← createCoreContext options
   match ← (coreM.run' coreContext { env := env }).toBaseIO with
   | .error exception =>
     return LSpec.test "Exception" (s!"internal exception #{← exception.toMessageData.toString}" = "")
@@ -47,14 +90,66 @@ def runCoreMSeq (env: Environment) (coreM: CoreM LSpec.TestSeq): IO LSpec.TestSe
 def runMetaMSeq (env: Environment) (metaM: MetaM LSpec.TestSeq): IO LSpec.TestSeq :=
   runCoreMSeq env metaM.run'
 def runTermElabMInMeta { α } (termElabM: Lean.Elab.TermElabM α): Lean.MetaM α :=
-  termElabM.run' (ctx := {
-    declName? := .none,
-    errToSorry := false,
-  })
+  termElabM.run' (ctx := Condensed.elabContext)
+def runTermElabMSeq (env: Environment) (termElabM: Elab.TermElabM LSpec.TestSeq): IO LSpec.TestSeq :=
+  runMetaMSeq env $ termElabM.run' (ctx := Condensed.elabContext)
 
-def defaultTermElabMContext: Lean.Elab.Term.Context := {
-    declName? := some "_pantograph".toName,
-    errToSorry := false
+def exprToStr (e: Expr): Lean.MetaM String := toString <$> Meta.ppExpr e
+
+def strToTermSyntax [Monad m] [MonadEnv m] (s: String): m Syntax := do
+  let .ok stx := Parser.runParserCategory
+    (env := ← MonadEnv.getEnv)
+    (catName := `term)
+    (input := s)
+    (fileName := filename) | panic! s!"Failed to parse {s}"
+  return stx
+def parseSentence (s: String): Elab.TermElabM Expr := do
+  let stx ← match Parser.runParserCategory
+    (env := ← MonadEnv.getEnv)
+    (catName := `term)
+    (input := s)
+    (fileName := filename) with
+    | .ok syn => pure syn
+    | .error error => throwError "Failed to parse: {error}"
+  Elab.Term.elabTerm (stx := stx) .none
+
+def runTacticOnMVar (tacticM: Elab.Tactic.TacticM Unit) (goal: MVarId): Elab.TermElabM (List MVarId) := do
+    let (_, newGoals) ← tacticM { elaborator := .anonymous } |>.run { goals := [goal] }
+    return newGoals.goals
+def mvarUserNameAndType (mvarId: MVarId): MetaM (Name × String) := do
+  let name := (← mvarId.getDecl).userName
+  let t ← exprToStr (← mvarId.getType)
+  return (name, t)
+
+
+-- Monadic testing
+
+abbrev TestT := StateT LSpec.TestSeq
+
+def addTest [Monad m] (test: LSpec.TestSeq): TestT m Unit := do
+  set $ (← get) ++ test
+
+def runTest [Monad m] (t: TestT m Unit): m LSpec.TestSeq :=
+  Prod.snd <$> t.run LSpec.TestSeq.done
+
+def runTestTermElabM (env: Environment) (t: TestT Elab.TermElabM Unit):
+  IO LSpec.TestSeq :=
+  runTermElabMSeq env $ runTest t
+
+def cdeclOf (userName: Name) (type: Expr): Condensed.LocalDecl :=
+  { userName, type }
+
+def buildGoal (nameType: List (String × String)) (target: String) (userName?: Option String := .none):
+    Protocol.Goal :=
+  {
+    userName?,
+    target := { pp? := .some target},
+    vars := (nameType.map fun x => ({
+      userName := x.fst,
+      type? := .some { pp? := .some x.snd },
+    })).toArray
   }
 
+end Test
+
 end Pantograph

Test/Environment.lean

@@ -11,6 +11,7 @@ open Pantograph
 
 deriving instance DecidableEq, Repr for Protocol.InductInfo
 deriving instance DecidableEq, Repr for Protocol.ConstructorInfo
+deriving instance DecidableEq, Repr for Protocol.RecursorRule
 deriving instance DecidableEq, Repr for Protocol.RecursorInfo
 deriving instance DecidableEq, Repr for Protocol.EnvInspectResult
 
@@ -32,7 +33,7 @@ def test_catalog: IO LSpec.TestSeq := do
 def test_symbol_visibility: IO LSpec.TestSeq := do
   let entries: List (Name × Bool) := [
     ("Nat.add_comm".toName, false),
-    ("Lean.Name".toName, true),
+    ("foo.bla.Init.Data.List.Basic.2.1.Init.Lean.Expr._hyg.4".toName, true),
     ("Init.Data.Nat.Basic._auxLemma.4".toName, true),
   ]
   let suite := entries.foldl (λ suites (symbol, target) =>
@@ -69,6 +70,7 @@ def test_inspect: IO LSpec.TestSeq := do
       numIndices := 1,
       numMotives := 1,
       numMinors := 1,
+      rules := #[{ ctor := "Eq.refl", nFields := 0, rhs := { pp? := .some "fun {α} a motive refl => refl" } }]
       k := true,
     }),
     ("ForM.rec", ConstantCat.recursor {
@@ -77,6 +79,7 @@ def test_inspect: IO LSpec.TestSeq := do
       numIndices := 0,
       numMotives := 1,
       numMinors := 1,
+      rules := #[{ ctor := "ForM.mk", nFields := 1, rhs := { pp? := .some "fun m γ α motive mk forM => mk forM" } }]
       k := false,
     })
   ]
@@ -94,10 +97,11 @@ def test_inspect: IO LSpec.TestSeq := do
     ) LSpec.TestSeq.done
   runCoreMSeq env inner
 
-def suite: IO LSpec.TestSeq := do
-  return LSpec.group "Environment" $
-    (LSpec.group "Catalog" (← test_catalog)) ++
-    (LSpec.group "Symbol visibility" (← test_symbol_visibility)) ++
-    (LSpec.group "Inspect" (← test_inspect))
+def suite: List (String × IO LSpec.TestSeq) :=
+  [
+    ("Catalog", test_catalog),
+    ("Symbol Visibility", test_symbol_visibility),
+    ("Inspect", test_inspect),
+  ]
 
 end Pantograph.Test.Environment

Test/Frontend.lean

@@ -0,0 +1,191 @@
+import LSpec
+import Pantograph
+import Repl
+import Test.Common
+
+open Lean Pantograph
+namespace Pantograph.Test.Frontend
+
+def collectSorrysFromSource (source: String) : MetaM (List GoalState) := do
+  let filename := "<anonymous>"
+  let (context, state) ← do Frontend.createContextStateFromFile source filename (← getEnv) {}
+  let m := Frontend.mapCompilationSteps λ step => do
+    return (step.before, Frontend.collectSorrys step)
+  let li ← m.run context |>.run' state
+  let goalStates ← li.filterMapM λ (env, sorrys) => withEnv env do
+    if sorrys.isEmpty then
+      return .none
+    let goalState ← Frontend.sorrysToGoalState sorrys
+    return .some goalState
+  return goalStates
+
+def test_multiple_sorrys_in_proof : TestT MetaM Unit := do
+  let sketch := "
+theorem plus_n_Sm_proved_formal_sketch : ∀ n m : Nat, n + (m + 1) = (n + m) + 1 := by
+   have h_nat_add_succ: ∀ n m : Nat, n = m := sorry
+   sorry
+  "
+  let goalStates ← (collectSorrysFromSource sketch).run' {}
+  let [goalState] := goalStates | panic! "Incorrect number of states"
+  addTest $ LSpec.check "goals" ((← goalState.serializeGoals (options := {})).map (·.devolatilize) = #[
+    {
+      target := { pp? := "∀ (n m : Nat), n = m" },
+      vars := #[
+      ]
+    },
+    {
+      target := { pp? := "∀ (n m : Nat), n + (m + 1) = n + m + 1" },
+      vars := #[{
+        userName := "h_nat_add_succ",
+        type? := .some { pp? := "∀ (n m : Nat), n = m" },
+      }],
+    }
+  ])
+
+def test_sorry_in_middle: TestT MetaM Unit := do
+  let sketch := "
+example : ∀ (n m: Nat), n + m = m + n := by
+  intros n m
+  sorry
+  "
+  let goalStates ← (collectSorrysFromSource sketch).run' {}
+  let [goalState] := goalStates | panic! s!"Incorrect number of states: {goalStates.length}"
+  addTest $ LSpec.check "goals" ((← goalState.serializeGoals (options := {})).map (·.devolatilize) = #[
+    {
+      target := { pp? := "n + m = m + n" },
+      vars := #[{
+           userName := "n",
+           type? := .some { pp? := "Nat" },
+        }, {
+           userName := "m",
+           type? := .some { pp? := "Nat" },
+        }
+      ],
+    }
+  ])
+
+def test_sorry_in_induction : TestT MetaM Unit := do
+  let sketch := "
+example : ∀ (n m: Nat), n + m = m + n := by
+  intros n m
+  induction n with
+  | zero =>
+    have h1 : 0 + m = m := sorry
+    sorry
+  | succ n ih =>
+    have h2 : n + m = m := sorry
+    sorry
+  "
+  let goalStates ← (collectSorrysFromSource sketch).run' {}
+  let [goalState] := goalStates | panic! s!"Incorrect number of states: {goalStates.length}"
+  addTest $ LSpec.check "goals" ((← goalState.serializeGoals (options := {})).map (·.devolatilize) = #[
+    {
+      target := { pp? := "0 + m = m" },
+      vars := #[{
+        userName := "m",
+        type? := .some { pp? := "Nat" },
+      }]
+    },
+    {
+      userName? := .some "zero",
+      target := { pp? := "0 + m = m + 0" },
+      vars := #[{
+        userName := "m",
+        type? := .some { pp? := "Nat" },
+      }, {
+        userName := "h1",
+        type? := .some { pp? := "0 + m = m" },
+      }]
+    },
+    {
+      target := { pp? := "n + m = m" },
+      vars := #[{
+        userName := "m",
+        type? := .some { pp? := "Nat" },
+      }, {
+        userName := "n",
+        type? := .some { pp? := "Nat" },
+      }, {
+        userName := "ih",
+        type? := .some { pp? := "n + m = m + n" },
+      }]
+    },
+    {
+      userName? := .some "succ",
+      target := { pp? := "n + 1 + m = m + (n + 1)" },
+      vars := #[{
+        userName := "m",
+        type? := .some { pp? := "Nat" },
+      }, {
+        userName := "n",
+        type? := .some { pp? := "Nat" },
+      }, {
+        userName := "ih",
+        type? := .some { pp? := "n + m = m + n" },
+      },  {
+        userName := "h2",
+        type? := .some { pp? := "n + m = m" },
+      }]
+    }
+  ])
+
+def test_sorry_in_coupled: TestT MetaM Unit := do
+  let sketch := "
+example : ∀ (y: Nat), ∃ (x: Nat), y + 1 = x := by
+  intro y
+  apply Exists.intro
+  case h => sorry
+  case w => sorry
+  "
+  let goalStates ← (collectSorrysFromSource sketch).run' {}
+  let [goalState] := goalStates | panic! s!"Incorrect number of states: {goalStates.length}"
+  addTest $ LSpec.check "goals" ((← goalState.serializeGoals (options := {})).map (·.devolatilize) = #[
+    {
+      target := { pp? := "y + 1 = ?w" },
+      vars := #[{
+           userName := "y",
+           type? := .some { pp? := "Nat" },
+        }
+      ],
+    },
+    {
+      userName? := .some "w",
+      target := { pp? := "Nat" },
+      vars := #[{
+           userName := "y",
+           type? := .some { pp? := "Nat" },
+        }
+      ],
+    }
+  ])
+
+def test_environment_capture: TestT MetaM Unit := do
+  let sketch := "
+def mystery (n: Nat) := n + 1
+
+example (n: Nat) : mystery n + 1 = n + 2 := sorry
+  "
+  let goalStates ← (collectSorrysFromSource sketch).run' {}
+  let [goalState] := goalStates | panic! s!"Incorrect number of states: {goalStates.length}"
+  addTest $ LSpec.check "goals" ((← goalState.serializeGoals (options := {})).map (·.devolatilize) = #[
+    {
+      target := { pp? := "mystery n + 1 = n + 2" },
+      vars := #[{
+         userName := "n",
+         type? := .some { pp? := "Nat" },
+      }],
+    }
+  ])
+
+
+def suite (env : Environment): List (String × IO LSpec.TestSeq) :=
+  let tests := [
+    ("multiple_sorrys_in_proof", test_multiple_sorrys_in_proof),
+    ("sorry_in_middle", test_sorry_in_middle),
+    ("sorry_in_induction", test_sorry_in_induction),
+    ("sorry_in_coupled", test_sorry_in_coupled),
+    ("environment_capture", test_environment_capture),
+  ]
+  tests.map (fun (name, test) => (name, runMetaMSeq env $ runTest test))
+
+end Pantograph.Test.Frontend

Test/Integration.lean

@@ -2,159 +2,257 @@
  -/
 import LSpec
 import Pantograph
+import Repl
+import Test.Common
+
 namespace Pantograph.Test.Integration
-open Pantograph
+open Pantograph.Repl
 
-def subroutine_named_step (name cmd: String) (payload: List (String × Lean.Json))
-    (expected: Lean.Json): MainM LSpec.TestSeq := do
-  let result ← execute { cmd := cmd, payload := Lean.Json.mkObj payload }
-  return LSpec.test name (toString result = toString expected)
-def subroutine_step (cmd: String) (payload: List (String × Lean.Json))
-    (expected: Lean.Json): MainM LSpec.TestSeq := subroutine_named_step cmd cmd payload expected
+def step { α } [Lean.ToJson α] (cmd: String) (payload: List (String × Lean.Json))
+    (expected: α) (name? : Option String := .none): MainM LSpec.TestSeq := do
+  let payload := Lean.Json.mkObj payload
+  let name := name?.getD s!"{cmd} {payload.compress}"
+  let result ← Repl.execute { cmd, payload }
+  return LSpec.test name (toString result = toString (Lean.toJson expected))
 
-def subroutine_runner (steps: List (MainM LSpec.TestSeq)): IO LSpec.TestSeq := do
-  -- Setup the environment for execution
-  let env ← Lean.importModules
-    (imports := #[{module := Lean.Name.str .anonymous "Init", runtimeOnly := false }])
-    (opts := {})
-    (trustLevel := 1)
-  let context: Context := {
-    imports := ["Init"]
-  }
-  let coreContext: Lean.Core.Context ← createCoreContext #[]
-  let commands: MainM LSpec.TestSeq :=
-    steps.foldlM (λ suite step => do
-      let result ← step
-      return suite ++ result) LSpec.TestSeq.done
-  try
-    let coreM := commands.run context |>.run' {}
-    return Prod.fst $ (← coreM.toIO coreContext { env := env })
-  catch ex =>
-    return LSpec.check s!"Uncaught IO exception: {ex.toString}" false
+abbrev Test := List (MainM LSpec.TestSeq)
 
-def test_option_modify : IO LSpec.TestSeq :=
+def test_elab : Test :=
+  [
+    step "expr.echo"
+      [("expr", .str "λ {α : Sort (u + 1)} => List α"), ("levels", .arr #["u"])]
+     (Lean.toJson ({
+       type := { pp? := .some "{α : Type u} → Type u" },
+       expr := { pp? := .some "fun {α} => List α" }
+     }: Protocol.ExprEchoResult)),
+  ]
+
+def test_option_modify : Test :=
   let pp? := Option.some "∀ (n : Nat), n + 1 = n.succ"
   let sexp? := Option.some "(:forall n (:c Nat) ((:c Eq) (:c Nat) ((:c HAdd.hAdd) (:c Nat) (:c Nat) (:c Nat) ((:c instHAdd) (:c Nat) (:c instAddNat)) 0 ((:c OfNat.ofNat) (:c Nat) (:lit 1) ((:c instOfNatNat) (:lit 1)))) ((:c Nat.succ) 0)))"
   let module? := Option.some "Init.Data.Nat.Basic"
   let options: Protocol.Options := {}
-  subroutine_runner [
-    subroutine_step "env.inspect"
-      [("name", .str "Nat.add_one")]
-     (Lean.toJson ({
-       type := { pp? }, module? }:
-      Protocol.EnvInspectResult)),
-    subroutine_step "options.set"
-      [("printExprAST", .bool true)]
-     (Lean.toJson ({ }:
-      Protocol.OptionsSetResult)),
-    subroutine_step "env.inspect"
-      [("name", .str "Nat.add_one")]
-     (Lean.toJson ({
-       type := { pp?, sexp? }, module? }:
-      Protocol.EnvInspectResult)),
-    subroutine_step "options.print"
-      []
-     (Lean.toJson ({ options with printExprAST := true }:
-      Protocol.OptionsPrintResult))
+  [
+    step "env.inspect" [("name", .str "Nat.add_one")]
+     ({ type := { pp? }, module? }: Protocol.EnvInspectResult),
+    step "options.set" [("printExprAST", .bool true)]
+     ({ }: Protocol.OptionsSetResult),
+    step "env.inspect" [("name", .str "Nat.add_one")]
+     ({ type := { pp?, sexp? }, module? }: Protocol.EnvInspectResult),
+    step "options.print" []
+     ({ options with printExprAST := true }: Protocol.Options),
   ]
-def test_malformed_command : IO LSpec.TestSeq :=
+def test_malformed_command : Test :=
   let invalid := "invalid"
-  subroutine_runner [
-    subroutine_named_step "Invalid command" invalid
-      [("name", .str "Nat.add_one")]
-     (Lean.toJson ({
-       error := "command", desc := s!"Unknown command {invalid}"}:
-      Protocol.InteractionError)),
-    subroutine_named_step "JSON Deserialization" "expr.echo"
-      [(invalid, .str "Random garbage data")]
-     (Lean.toJson ({
-       error := "command", desc := s!"Unable to parse json: Pantograph.Protocol.ExprEcho.expr: String expected"}:
-      Protocol.InteractionError))
+  [
+    step invalid [("name", .str "Nat.add_one")]
+     ({ error := "command", desc := s!"Unknown command {invalid}" }: Protocol.InteractionError)
+     (name? := .some "Invalid Command"),
+    step "expr.echo" [(invalid, .str "Random garbage data")]
+     ({ error := "command", desc := s!"Unable to parse json: Pantograph.Protocol.ExprEcho.expr: String expected" }:
+      Protocol.InteractionError)
+    (name? := .some "JSON Deserialization")
   ]
-def test_tactic : IO LSpec.TestSeq :=
+def test_tactic : Test :=
   let goal1: Protocol.Goal := {
-    name := "_uniq.10",
+    name := "_uniq.11",
     target := { pp? := .some "∀ (q : Prop), x ∨ q → q ∨ x" },
-    vars := #[{ name := "_uniq.9", userName := "x", isInaccessible? := .some false, type? := .some { pp? := .some "Prop" }}],
+    vars := #[{ name := "_uniq.10", userName := "x", type? := .some { pp? := .some "Prop" }}],
   }
   let goal2: Protocol.Goal := {
-    name := "_uniq.13",
+    name := "_uniq.17",
     target := { pp? := .some "x ∨ y → y ∨ x" },
     vars := #[
-      { name := "_uniq.9", userName := "x", isInaccessible? := .some false, type? := .some { pp? := .some "Prop" }},
-      { name := "_uniq.12", userName := "y", isInaccessible? := .some false, type? := .some { pp? := .some "Prop" }}
+      { name := "_uniq.10", userName := "x", type? := .some { pp? := .some "Prop" }},
+      { name := "_uniq.16", userName := "y", type? := .some { pp? := .some "Prop" }}
     ],
   }
-  subroutine_runner [
-    subroutine_step "goal.start"
-      [("expr", .str "∀ (p q: Prop), p ∨ q → q ∨ p")]
-     (Lean.toJson ({stateId := 0, root := "_uniq.8"}:
-      Protocol.GoalStartResult)),
-    subroutine_step "goal.tactic"
-      [("stateId", .num 0), ("goalId", .num 0), ("tactic", .str "intro x")]
-     (Lean.toJson ({
-       nextStateId? := .some 1,
-       goals? := #[goal1],
-     }:
-      Protocol.GoalTacticResult)),
-    subroutine_step "goal.print"
-      [("stateId", .num 1)]
-     (Lean.toJson ({
-       parent? := .some { pp? := .some "fun x => ?m.11 x" },
-     }:
-      Protocol.GoalPrintResult)),
-    subroutine_step "goal.tactic"
-      [("stateId", .num 1), ("goalId", .num 0), ("tactic", .str "intro y")]
-     (Lean.toJson ({
-       nextStateId? := .some 2,
-       goals? := #[goal2],
-     }:
-      Protocol.GoalTacticResult))
+  [
+    step "goal.start" [("expr", .str "∀ (p q: Prop), p ∨ q → q ∨ p")]
+     ({ stateId := 0, root := "_uniq.9" }: Protocol.GoalStartResult),
+    step "goal.tactic" [("stateId", .num 0), ("goalId", .num 0), ("tactic", .str "intro x")]
+     ({ nextStateId? := .some 1, goals? := #[goal1], }: Protocol.GoalTacticResult),
+    step "goal.print" [("stateId", .num 1)]
+     ({ parent? := .some { pp? := .some "fun x => ?m.12 x" }, }: Protocol.GoalPrintResult),
+    step "goal.tactic" [("stateId", .num 1), ("goalId", .num 0), ("tactic", .str "intro y")]
+     ({ nextStateId? := .some 2, goals? := #[goal2], }: Protocol.GoalTacticResult),
+  ]
+def test_automatic_mode (automatic: Bool): Test :=
+  let varsPQ := #[
+    { name := "_uniq.10", userName := "p", type? := .some { pp? := .some "Prop" }},
+    { name := "_uniq.13", userName := "q", type? := .some { pp? := .some "Prop" }}
+  ]
+  let goal1: Protocol.Goal := {
+    name := "_uniq.17",
+    target := { pp? := .some "q ∨ p" },
+    vars := varsPQ ++ #[
+      { name := "_uniq.16", userName := "h", type? := .some { pp? := .some "p ∨ q" }}
+    ],
+  }
+  let goal2l: Protocol.Goal := {
+    name := "_uniq.59",
+    userName? := .some "inl",
+    target := { pp? := .some "q ∨ p" },
+    vars := varsPQ ++ #[
+      { name := "_uniq.47", userName := "h✝", type? := .some { pp? := .some "p" }, isInaccessible := true}
+    ],
+  }
+  let goal2r: Protocol.Goal := {
+    name := "_uniq.72",
+    userName? := .some "inr",
+    target := { pp? := .some "q ∨ p" },
+    vars := varsPQ ++ #[
+      { name := "_uniq.60", userName := "h✝", type? := .some { pp? := .some "q" }, isInaccessible := true}
+    ],
+  }
+  let goal3l: Protocol.Goal := {
+    name := "_uniq.78",
+    userName? := .some "inl.h",
+    target := { pp? := .some "p" },
+    vars := varsPQ ++ #[
+      { name := "_uniq.47", userName := "h✝", type? := .some { pp? := .some "p" }, isInaccessible := true}
+    ],
+  }
+  [
+    step "options.set" [("automaticMode", .bool automatic)]
+     ({}: Protocol.OptionsSetResult),
+    step "goal.start" [("expr", .str "∀ (p q: Prop), p ∨ q → q ∨ p")]
+     ({ stateId := 0, root := "_uniq.9" }: Protocol.GoalStartResult),
+    step "goal.tactic" [("stateId", .num 0), ("goalId", .num 0), ("tactic", .str "intro p q h")]
+     ({ nextStateId? := .some 1, goals? := #[goal1], }: Protocol.GoalTacticResult),
+    step "goal.tactic" [("stateId", .num 1), ("goalId", .num 0), ("tactic", .str "cases h")]
+     ({ nextStateId? := .some 2, goals? := #[goal2l, goal2r], }: Protocol.GoalTacticResult),
+    let goals? := if automatic then #[goal3l, goal2r] else #[goal3l]
+    step "goal.tactic" [("stateId", .num 2), ("goalId", .num 0), ("tactic", .str "apply Or.inr")]
+     ({ nextStateId? := .some 3, goals?, }: Protocol.GoalTacticResult),
   ]
 
-def test_env : IO LSpec.TestSeq :=
+def test_env_add_inspect : Test :=
   let name1 := "Pantograph.mystery"
   let name2 := "Pantograph.mystery2"
-  subroutine_runner [
-    subroutine_step "env.add"
+  [
+    step "env.add"
       [
         ("name", .str name1),
         ("type", .str "Prop → Prop → Prop"),
         ("value", .str "λ (a b: Prop) => Or a b"),
         ("isTheorem", .bool false)
       ]
-     (Lean.toJson ({}: Protocol.EnvAddResult)),
-    subroutine_step "env.inspect"
-      [("name", .str name1)]
-     (Lean.toJson ({
+     ({}: Protocol.EnvAddResult),
+    step "env.inspect" [("name", .str name1)]
+     ({
        value? := .some { pp? := .some "fun a b => a ∨ b" },
        type := { pp? := .some "Prop → Prop → Prop" },
      }:
-      Protocol.EnvInspectResult)),
-    subroutine_step "env.add"
+      Protocol.EnvInspectResult),
+    step "env.add"
       [
         ("name", .str name2),
         ("type", .str "Nat → Int"),
         ("value", .str "λ (a: Nat) => a + 1"),
         ("isTheorem", .bool false)
       ]
-     (Lean.toJson ({}: Protocol.EnvAddResult)),
-    subroutine_step "env.inspect"
-      [("name", .str name2)]
-     (Lean.toJson ({
+     ({}: Protocol.EnvAddResult),
+    step "env.inspect" [("name", .str name2)]
+     ({
        value? := .some { pp? := .some "fun a => ↑a + 1" },
        type := { pp? := .some "Nat → Int" },
      }:
-      Protocol.EnvInspectResult))
+      Protocol.EnvInspectResult)
   ]
 
-def suite: IO LSpec.TestSeq := do
+example : ∀ (p: Prop), p → p := by
+  intro p h
+  exact h
 
-  return LSpec.group "Integration" $
-    (LSpec.group "Option modify" (← test_option_modify)) ++
-    (LSpec.group "Malformed command" (← test_malformed_command)) ++
-    (LSpec.group "Tactic" (← test_tactic)) ++
-    (LSpec.group "Env" (← test_env))
+def test_frontend_process : Test :=
+  [
+    let file := "example : ∀ (p q: Prop), p → p ∨ q := by\n  intro p q h\n  exact Or.inl h"
+    let goal1 := "p q : Prop\nh : p\n⊢ p ∨ q"
+    step "frontend.process"
+      [
+        ("file", .str file),
+        ("invocations", .bool true),
+        ("sorrys", .bool false),
+      ]
+     ({
+       units := [{
+         boundary := (0, file.utf8ByteSize),
+         invocations? := .some [
+           {
+             goalBefore := "⊢ ∀ (p q : Prop), p → p ∨ q",
+             goalAfter := goal1,
+             tactic := "intro p q h",
+             usedConstants := #[],
+           },
+           {
+             goalBefore := goal1 ,
+             goalAfter := "",
+             tactic := "exact Or.inl h",
+             usedConstants := #["Or.inl"],
+           },
+         ]
+       }],
+    }: Protocol.FrontendProcessResult),
+  ]
+
+example : 1 + 2 = 3 := rfl
+example (p: Prop): p → p := by simp
+
+def test_frontend_process_sorry : Test :=
+  let solved := "example : 1 + 2 = 3 := rfl\n"
+  let withSorry := "example (p: Prop): p → p := sorry"
+  [
+    let file := s!"{solved}{withSorry}"
+    let goal1: Protocol.Goal := {
+      name := "_uniq.6",
+      target := { pp? := .some "p → p" },
+      vars := #[{ name := "_uniq.4", userName := "p", type? := .some { pp? := .some "Prop" }}],
+    }
+    step "frontend.process"
+      [
+        ("file", .str file),
+        ("invocations", .bool false),
+        ("sorrys", .bool true),
+      ]
+     ({
+       units := [{
+         boundary := (0, solved.utf8ByteSize),
+       }, {
+         boundary := (solved.utf8ByteSize, solved.utf8ByteSize + withSorry.utf8ByteSize),
+         goalStateId? := .some 0,
+         goals := #[goal1],
+         messages := #["<anonymous>:2:0: warning: declaration uses 'sorry'\n"],
+       }],
+    }: Protocol.FrontendProcessResult),
+  ]
+
+
+def runTest (env: Lean.Environment) (steps: Test): IO LSpec.TestSeq := do
+  -- Setup the environment for execution
+  let context: Context := {
+    imports := ["Init"]
+  }
+  let commands: MainM LSpec.TestSeq :=
+    steps.foldlM (λ suite step => do
+      let result ← step
+      return suite ++ result) LSpec.TestSeq.done
+  runCoreMSeq env <| commands.run context |>.run' {}
+
+
+def suite (env : Lean.Environment): List (String × IO LSpec.TestSeq) :=
+  let tests := [
+    ("expr.echo", test_elab),
+    ("options.set options.print", test_option_modify),
+    ("Malformed command", test_malformed_command),
+    ("Tactic", test_tactic),
+    ("Manual Mode", test_automatic_mode false),
+    ("Automatic Mode", test_automatic_mode true),
+    ("env.add env.inspect", test_env_add_inspect),
+    ("frontend.process invocation", test_frontend_process),
+    ("frontend.process sorry", test_frontend_process_sorry),
+  ]
+  tests.map (fun (name, test) => (name, runTest env test))
 
 
 end Pantograph.Test.Integration

Test/Library.lean

@@ -0,0 +1,38 @@
+import LSpec
+import Lean
+import Pantograph.Library
+import Test.Common
+
+open Lean
+open Pantograph
+
+namespace Pantograph.Test.Library
+
+def test_expr_echo (env: Environment): IO LSpec.TestSeq := do
+  let inner: CoreM LSpec.TestSeq := do
+    let prop_and_proof := "⟨∀ (x: Prop), x → x, λ (x: Prop) (h: x) => h⟩"
+    let tests := LSpec.TestSeq.done
+    let echoResult ← exprEcho prop_and_proof (options := {})
+    let tests := tests.append (LSpec.test "fail" (echoResult.toOption == .some {
+      type := { pp? := "?m.2" }, expr := { pp? := "?m.3" }
+    }))
+    let echoResult ← exprEcho prop_and_proof (expectedType? := .some "Σ' p:Prop, p") (options := { printExprAST := true })
+    let tests := tests.append (LSpec.test "fail" (echoResult.toOption == .some {
+      type := {
+        pp? := "(p : Prop) ×' p",
+        sexp? := "((:c PSigma) (:sort 0) (:lambda p (:sort 0) 0))",
+      },
+      expr := {
+        pp? := "⟨∀ (x : Prop), x → x, fun x h => h⟩",
+        sexp? := "((:c PSigma.mk) (:sort 0) (:lambda p (:sort 0) 0) (:forall x (:sort 0) (:forall _ 0 1)) (:lambda x (:sort 0) (:lambda h 0 0)))",
+      }
+    }))
+    return tests
+  runCoreMSeq env (options := #["pp.proofs.threshold=100"]) inner
+
+def suite (env: Environment): List (String × IO LSpec.TestSeq) :=
+  [
+    ("expr_echo", test_expr_echo env),
+  ]
+
+end Pantograph.Test.Library

Test/Main.lean

@@ -1,21 +1,60 @@
 import LSpec
 import Test.Environment
-import Test.Metavar
+import Test.Frontend
 import Test.Integration
+import Test.Library
+import Test.Metavar
 import Test.Proofs
 import Test.Serial
+import Test.Tactic
+
+-- Test running infrastructure
+
+namespace Pantograph.Test
+
+def addPrefix (pref: String) (tests: List (String × α)): List (String  × α) :=
+  tests.map (λ (name, x) => (pref ++ "/" ++ name, x))
+
+/-- Runs test in parallel. Filters test name if given -/
+def runTestGroup (filter: Option String) (tests: List (String × IO LSpec.TestSeq)): IO LSpec.TestSeq := do
+  let tests: List (String × IO LSpec.TestSeq) := match filter with
+    | .some filter => tests.filter (λ (name, _) => filter.isPrefixOf name)
+    | .none => tests
+  let tasks: List (String × Task _) ← tests.mapM (λ (name, task) => do
+    return (name, ← EIO.asTask task))
+  let all := tasks.foldl (λ acc (name, task) =>
+    let v: Except IO.Error LSpec.TestSeq := Task.get task
+    match v with
+    | .ok case => acc ++ (LSpec.group name case)
+    | .error e => acc ++ (expectationFailure name e.toString)
+    ) LSpec.TestSeq.done
+  return all
+
+end Pantograph.Test
 
 open Pantograph.Test
 
-def main := do
+/-- Main entry of tests; Provide an argument to filter tests by prefix -/
+def main (args: List String) := do
+  let name_filter := args.head?
   Lean.initSearchPath (← Lean.findSysroot)
+  let env_default: Lean.Environment ← Lean.importModules
+    (imports := #[`Init])
+    (opts := {})
+    (trustLevel := 1)
 
-  let suites := [
-    Metavar.suite,
-    Integration.suite,
-    Proofs.suite,
-    Serial.suite,
-    Environment.suite
+  let suites: List (String × List (String × IO LSpec.TestSeq)) := [
+    ("Environment", Environment.suite),
+    ("Frontend", Frontend.suite env_default),
+    ("Integration", Integration.suite env_default),
+    ("Library", Library.suite env_default),
+    ("Metavar", Metavar.suite env_default),
+    ("Proofs", Proofs.suite env_default),
+    ("Serial", Serial.suite env_default),
+    ("Tactic/Congruence", Tactic.Congruence.suite env_default),
+    ("Tactic/Motivated Apply", Tactic.MotivatedApply.suite env_default),
+    ("Tactic/No Confuse", Tactic.NoConfuse.suite env_default),
+    ("Tactic/Prograde", Tactic.Prograde.suite env_default),
   ]
-  let all ← suites.foldlM (λ acc m => do pure $ acc ++ (← m)) LSpec.TestSeq.done
-  LSpec.lspecIO $ all
+  let tests: List (String × IO LSpec.TestSeq) := suites.foldl (λ acc (name, suite) => acc ++ (addPrefix name suite)) []
+  LSpec.lspecIO (← runTestGroup name_filter tests)

Test/Metavar.lean

@@ -8,21 +8,42 @@ namespace Pantograph.Test.Metavar
 open Pantograph
 open Lean
 
-abbrev TestM := StateRefT LSpec.TestSeq (ReaderT Protocol.Options M)
+abbrev TestM := StateRefT LSpec.TestSeq (ReaderT Protocol.Options Elab.TermElabM)
 
 def addTest (test: LSpec.TestSeq): TestM Unit := do
   set $ (← get) ++ test
 
+-- Tests that all delay assigned mvars are instantiated
+def test_instantiate_mvar: TestM Unit := do
+  let env ← Lean.MonadEnv.getEnv
+  let value := "@Nat.le_trans 2 2 5 (@of_eq_true (@LE.le Nat instLENat 2 2) (@eq_true (@LE.le Nat instLENat 2 2) (@Nat.le_refl 2))) (@of_eq_true (@LE.le Nat instLENat 2 5) (@eq_true_of_decide (@LE.le Nat instLENat 2 5) (@Nat.decLe 2 5) (@Eq.refl Bool Bool.true)))"
+  let syn ← match parseTerm env value with
+    | .ok s => pure $ s
+    | .error e => do
+      addTest $ assertUnreachable e
+      return ()
+  let expr ← match ← elabTerm syn with
+    | .ok expr => pure $ expr
+    | .error e => do
+      addTest $ assertUnreachable e
+      return ()
+  let t ← Lean.Meta.inferType expr
+  addTest $ LSpec.check "typing" ((toString (← serializeExpressionSexp t)) =
+    "((:c LE.le) (:c Nat) (:c instLENat) ((:c OfNat.ofNat) (:mv _uniq.2) (:lit 2) (:mv _uniq.3)) ((:c OfNat.ofNat) (:mv _uniq.14) (:lit 5) (:mv _uniq.15)))")
+  return ()
+
+
+
 def startProof (expr: String): TestM (Option GoalState) := do
   let env ← Lean.MonadEnv.getEnv
-  let syn? := syntax_from_str env expr
+  let syn? := parseTerm env expr
   addTest $ LSpec.check s!"Parsing {expr}" (syn?.isOk)
   match syn? with
   | .error error =>
     IO.println error
     return Option.none
   | .ok syn =>
-    let expr? ← syntax_to_expr_type syn
+    let expr? ← elabType syn
     addTest $ LSpec.check s!"Elaborating" expr?.isOk
     match expr? with
     | .error error =>
@@ -39,14 +60,13 @@ def buildGoal (nameType: List (String × String)) (target: String) (userName?: O
     vars := (nameType.map fun x => ({
       userName := x.fst,
       type? := .some { pp? := .some x.snd },
-      isInaccessible? := .some false
     })).toArray
   }
 def proofRunner (env: Lean.Environment) (tests: TestM Unit): IO LSpec.TestSeq := do
   let termElabM := tests.run LSpec.TestSeq.done |>.run {} -- with default options
 
   let coreContext: Lean.Core.Context ← createCoreContext #[]
-  let metaM := termElabM.run' (ctx := defaultTermElabMContext)
+  let metaM := termElabM.run' (ctx := Condensed.elabContext)
   let coreM := metaM.run'
   match ← (coreM.run' coreContext { env := env }).toBaseIO with
   | .error exception =>
@@ -63,7 +83,7 @@ def test_m_couple: TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply Nat.le_trans") with
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := "apply Nat.le_trans") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -72,7 +92,7 @@ def test_m_couple: TestM Unit := do
     #[.some "2 ≤ ?m", .some "?m ≤ 5", .some "Nat"])
   addTest $ LSpec.test "(1 root)" state1.rootExpr?.isNone
   -- Set m to 3
-  let state2 ← match ← state1.execute (goalId := 2) (tactic := "exact 3") with
+  let state2 ← match ← state1.tacticOn (goalId := 2) (tactic := "exact 3") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -95,14 +115,18 @@ def test_m_couple_simp: TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply Nat.le_trans") with
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := "apply Nat.le_trans") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
-  addTest $ LSpec.check "apply Nat.le_trans" ((← state1.serializeGoals (options := ← read)).map (·.target.pp?) =
+  let serializedState1 ← state1.serializeGoals (options := { ← read with printDependentMVars := true })
+  addTest $ LSpec.check "apply Nat.le_trans" (serializedState1.map (·.target.pp?) =
     #[.some "2 ≤ ?m", .some "?m ≤ 5", .some "Nat"])
-  let state2 ← match ← state1.execute (goalId := 2) (tactic := "exact 2") with
+  addTest $ LSpec.check "(metavariables)" (serializedState1.map (·.target.dependentMVars?.get!) =
+    #[#["_uniq.38"], #["_uniq.38"], #[]])
+
+  let state2 ← match ← state1.tacticOn (goalId := 2) (tactic := "exact 2") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -116,7 +140,7 @@ def test_m_couple_simp: TestM Unit := do
   addTest $ LSpec.check "exact 2" ((← state1b.serializeGoals (options := ← read)).map (·.target.pp?) =
     #[.some "2 ≤ 2", .some "2 ≤ 5"])
   addTest $ LSpec.test "(2 root)" state1b.rootExpr?.isNone
-  let state3 ← match ← state1b.execute (goalId := 0) (tactic := "simp") with
+  let state3 ← match ← state1b.tacticOn (goalId := 0) (tactic := "simp") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -126,7 +150,7 @@ def test_m_couple_simp: TestM Unit := do
       addTest $ assertUnreachable $ msg
       return ()
     | .ok state => pure state
-  let state5 ← match ← state4.execute (goalId := 0) (tactic := "simp") with
+  let state5 ← match ← state4.tacticOn (goalId := 0) (tactic := "simp") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -140,8 +164,9 @@ def test_m_couple_simp: TestM Unit := do
       return ()
   let rootStr: String := toString (← Lean.Meta.ppExpr root)
   addTest $ LSpec.check "(5 root)" (rootStr = "Nat.le_trans (of_eq_true (Init.Data.Nat.Basic._auxLemma.4 2)) (of_eq_true (eq_true_of_decide (Eq.refl true)))")
-  let rootStr: String := toString (← Lean.Meta.ppExpr (← unfoldAuxLemmas root))
-  addTest $ LSpec.check "(5 root)" (rootStr = "Nat.le_trans (of_eq_true (eq_true (Nat.le_refl 2))) (of_eq_true (eq_true_of_decide (Eq.refl true)))")
+  let unfoldedRoot ←  unfoldAuxLemmas root
+  addTest $ LSpec.check "(5 root)" ((toString (← Lean.Meta.ppExpr unfoldedRoot)) =
+    "Nat.le_trans (of_eq_true (eq_true (Nat.le_refl 2))) (of_eq_true (eq_true_of_decide (Eq.refl true)))")
   return ()
 
 def test_proposition_generation: TestM Unit := do
@@ -152,7 +177,7 @@ def test_proposition_generation: TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply PSigma.mk") with
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := "apply PSigma.mk") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -166,21 +191,22 @@ def test_proposition_generation: TestM Unit := do
     addTest $ LSpec.test "(1 reference)" (goal1.target.sexp? = .some s!"(:mv {goal2.name})")
   addTest $ LSpec.test "(1 root)" state1.rootExpr?.isNone
 
-  let state2 ← match ← state1.tryAssign (goalId := 0) (expr := "λ (x: Nat) => _") with
+  let state2 ← match ← state1.tryAssign (state1.get! 0) (expr := "λ (x: Nat) => _") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
   addTest $ LSpec.check ":= λ (x: Nat), _" ((← state2.serializeGoals (options := ← read)).map (·.target.pp?) =
-    #[.some "Nat → Prop", .some "∀ (x : Nat), ?m.29 x"])
+    #[.some "?m.29 x"])
   addTest $ LSpec.test "(2 root)" state2.rootExpr?.isNone
 
-  let state3 ← match ← state2.tryAssign (goalId := 1) (expr := "fun x => Eq.refl x") with
+  let assign := "Eq.refl x"
+  let state3 ← match ← state2.tryAssign (state2.get! 0) (expr := assign) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
-  addTest $ LSpec.check ":= Eq.refl" ((← state3.serializeGoals (options := ← read)).map (·.target.pp?) =
+  addTest $ LSpec.check s!":= {assign}" ((← state3.serializeGoals (options := ← read)).map (·.target.pp?) =
     #[])
 
   addTest $ LSpec.test "(3 root)" state3.rootExpr?.isSome
@@ -194,7 +220,7 @@ def test_partial_continuation: TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply Nat.le_trans") with
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := "apply Nat.le_trans") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -202,7 +228,7 @@ def test_partial_continuation: TestM Unit := do
   addTest $ LSpec.check "apply Nat.le_trans" ((← state1.serializeGoals (options := ← read)).map (·.target.pp?) =
     #[.some "2 ≤ ?m", .some "?m ≤ 5", .some "Nat"])
 
-  let state2 ← match ← state1.execute (goalId := 2) (tactic := "apply Nat.succ") with
+  let state2 ← match ← state1.tacticOn (goalId := 2) (tactic := "apply Nat.succ") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -223,8 +249,8 @@ def test_partial_continuation: TestM Unit := do
 
   -- Roundtrip
   --let coupled_goals := coupled_goals.map (λ g =>
-  --  { name := str_to_name $ name_to_ast g.name (sanitize := false)})
-  let coupled_goals := coupled_goals.map (λ g => name_to_ast g.name (sanitize := false))
+  --  { name := str_to_name $ serializeName g.name (sanitize := false)})
+  let coupled_goals := coupled_goals.map (λ g => serializeName g.name (sanitize := false))
   let coupled_goals := coupled_goals.map (λ g => { name := g.toName })
   let state1b ← match state2.resume (goals := coupled_goals) with
     | .error msg => do
@@ -237,7 +263,7 @@ def test_partial_continuation: TestM Unit := do
 
   -- Continuation should fail if the state does not exist:
   match state0.resume coupled_goals with
-  | .error error => addTest $ LSpec.check "(continuation failure message)" (error = "Goals not in scope")
+  | .error error => addTest $ LSpec.check "(continuation failure message)" (error = "Goals [_uniq.40, _uniq.41, _uniq.38, _uniq.47] are not in scope")
   | .ok _ => addTest $ assertUnreachable "(continuation failure)"
   -- Continuation should fail if some goals have not been solved
   match state2.continue state1 with
@@ -246,22 +272,14 @@ def test_partial_continuation: TestM Unit := do
   return ()
 
 
-def suite: IO LSpec.TestSeq := do
-  let env: Lean.Environment ← Lean.importModules
-    (imports := #["Init"].map (λ str => { module := str.toName, runtimeOnly := false }))
-    (opts := {})
-    (trustLevel := 1)
+def suite (env: Environment): List (String × IO LSpec.TestSeq) :=
   let tests := [
+    ("Instantiate", test_instantiate_mvar),
     ("2 < 5", test_m_couple),
     ("2 < 5", test_m_couple_simp),
     ("Proposition Generation", test_proposition_generation),
     ("Partial Continuation", test_partial_continuation)
   ]
-  let tests ← tests.foldlM (fun acc tests => do
-    let (name, tests) := tests
-    let tests ← proofRunner env tests
-    return acc ++ (LSpec.group name tests)) LSpec.TestSeq.done
-
-  return LSpec.group "Metavar" tests
+  tests.map (fun (name, test) => (name, proofRunner env test))
 
 end Pantograph.Test.Metavar

Test/Proofs.lean

@@ -14,7 +14,7 @@ inductive Start where
   | copy (name: String) -- Start from some name in the environment
   | expr (expr: String) -- Start from some expression
 
-abbrev TestM := StateRefT LSpec.TestSeq (ReaderT Protocol.Options M)
+abbrev TestM := StateRefT LSpec.TestSeq (ReaderT Protocol.Options Elab.TermElabM)
 
 def addTest (test: LSpec.TestSeq): TestM Unit := do
   set $ (← get) ++ test
@@ -32,14 +32,14 @@ def startProof (start: Start): TestM (Option GoalState) := do
     | .none =>
       return Option.none
   | .expr expr =>
-    let syn? := syntax_from_str env expr
+    let syn? := parseTerm env expr
     addTest $ LSpec.check s!"Parsing {expr}" (syn?.isOk)
     match syn? with
     | .error error =>
       IO.println error
       return Option.none
     | .ok syn =>
-      let expr? ← syntax_to_expr_type syn
+      let expr? ← elabType syn
       addTest $ LSpec.check s!"Elaborating" expr?.isOk
       match expr? with
       | .error error =>
@@ -49,21 +49,32 @@ def startProof (start: Start): TestM (Option GoalState) := do
         let goal ← GoalState.create (expr := expr)
         return Option.some goal
 
-def buildGoal (nameType: List (String × String)) (target: String) (userName?: Option String := .none): Protocol.Goal :=
+def buildNamedGoal (name: String) (nameType: List (String × String)) (target: String)
+    (userName?: Option String := .none): Protocol.Goal :=
+  {
+    name,
+    userName?,
+    target := { pp? := .some target},
+    vars := (nameType.map fun x => ({
+      userName := x.fst,
+      type? := .some { pp? := .some x.snd },
+    })).toArray
+  }
+def buildGoal (nameType: List (String × String)) (target: String) (userName?: Option String := .none):
+    Protocol.Goal :=
   {
     userName?,
     target := { pp? := .some target},
     vars := (nameType.map fun x => ({
       userName := x.fst,
       type? := .some { pp? := .some x.snd },
-      isInaccessible? := .some false
     })).toArray
   }
 def proofRunner (env: Lean.Environment) (tests: TestM Unit): IO LSpec.TestSeq := do
   let termElabM := tests.run LSpec.TestSeq.done |>.run {} -- with default options
 
   let coreContext: Lean.Core.Context ← createCoreContext #[]
-  let metaM := termElabM.run' (ctx := defaultTermElabMContext)
+  let metaM := termElabM.run' (ctx := Condensed.elabContext)
   let coreM := metaM.run'
   match ← (coreM.run' coreContext { env := env }).toBaseIO with
   | .error exception =>
@@ -71,11 +82,32 @@ def proofRunner (env: Lean.Environment) (tests: TestM Unit): IO LSpec.TestSeq :=
   | .ok (_, a) =>
     return a
 
+def test_identity: TestM Unit := do
+  let state? ← startProof (.expr "∀ (p: Prop), p → p")
+  let state0 ← match state? with
+    | .some state => pure state
+    | .none => do
+      addTest $ assertUnreachable "Goal could not parse"
+      return ()
+
+  let tactic := "intro p h"
+  let state1 ← match ← state0.tacticOn 0 tactic with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  let inner := "_uniq.12"
+  addTest $ LSpec.check tactic ((← state1.serializeGoals (options := ← read)).map (·.name) =
+    #[inner])
+  let state1parent ← state1.withParentContext do
+    serializeExpressionSexp (← instantiateAll state1.parentExpr?.get!) (sanitize := false)
+  addTest $ LSpec.test "(1 parent)" (state1parent == s!"(:lambda p (:sort 0) (:lambda h 0 (:subst (:mv {inner}) 1 0)))")
+
 -- Individual test cases
 example: ∀ (a b: Nat), a + b = b + a := by
   intro n m
   rw [Nat.add_comm]
-def proof_nat_add_comm (manual: Bool): TestM Unit := do
+def test_nat_add_comm (manual: Bool): TestM Unit := do
   let state? ← startProof <| match manual with
     | false => .copy "Nat.add_comm"
     | true => .expr "∀ (a b: Nat), a + b = b + a"
@@ -86,7 +118,7 @@ def proof_nat_add_comm (manual: Bool): TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.execute (goalId := 0) (tactic := "intro n m") with
+  let state1 ← match ← state0.tacticOn 0 "intro n m" with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -94,13 +126,13 @@ def proof_nat_add_comm (manual: Bool): TestM Unit := do
   addTest $ LSpec.check "intro n m" ((← state1.serializeGoals (options := ← read)).map (·.devolatilize) =
     #[buildGoal [("n", "Nat"), ("m", "Nat")] "n + m = m + n"])
 
-  match ← state1.execute (goalId := 0) (tactic := "assumption") with
+  match ← state1.tacticOn 0 "assumption" with
   | .failure #[message] =>
     addTest $ LSpec.check "assumption" (message = "tactic 'assumption' failed\nn m : Nat\n⊢ n + m = m + n")
   | other => do
     addTest $ assertUnreachable $ other.toString
 
-  let state2 ← match ← state1.execute (goalId := 0) (tactic := "rw [Nat.add_comm]") with
+  let state2 ← match ← state1.tacticOn 0 "rw [Nat.add_comm]" with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -108,7 +140,7 @@ def proof_nat_add_comm (manual: Bool): TestM Unit := do
   addTest $ LSpec.test "rw [Nat.add_comm]" state2.goals.isEmpty
 
   return ()
-def proof_delta_variable: TestM Unit := do
+def test_delta_variable: TestM Unit := do
   let options: Protocol.Options := { noRepeat := true }
   let state? ← startProof <| .expr "∀ (a b: Nat), a + b = b + a"
   addTest $ LSpec.check "Start goal" state?.isSome
@@ -118,14 +150,14 @@ def proof_delta_variable: TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.execute (goalId := 0) (tactic := "intro n") with
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := "intro n") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
   addTest $ LSpec.check "intro n" ((← state1.serializeGoals (parent := state0) options).map (·.devolatilize) =
     #[buildGoalSelective [("n", .some "Nat")] "∀ (b : Nat), n + b = b + n"])
-  let state2 ← match ← state1.execute (goalId := 0) (tactic := "intro m") with
+  let state2 ← match ← state1.tacticOn (goalId := 0) (tactic := "intro m") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -141,7 +173,6 @@ def proof_delta_variable: TestM Unit := do
       vars := (nameType.map fun x => ({
         userName := x.fst,
         type? := x.snd.map (λ type => { pp? := type }),
-        isInaccessible? := x.snd.map (λ _ => false)
       })).toArray
     }
 
@@ -149,7 +180,7 @@ example (w x y z : Nat) (p : Nat → Prop)
         (h : p (x * y + z * w * x)) : p (x * w * z + y * x) := by
   simp [Nat.add_assoc, Nat.add_comm, Nat.add_left_comm, Nat.mul_comm, Nat.mul_assoc, Nat.mul_left_comm] at *
   assumption
-def proof_arith: TestM Unit := do
+def test_arith: TestM Unit := do
   let state? ← startProof (.expr "∀ (w x y z : Nat) (p : Nat → Prop) (h : p (x * y + z * w * x)), p (x * w * z + y * x)")
   let state0 ← match state? with
     | .some state => pure state
@@ -157,26 +188,28 @@ def proof_arith: TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.execute (goalId := 0) (tactic := "intros") with
+  let tactic := "intros"
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
-  addTest $ LSpec.check "intros" (state1.goals.length = 1)
+  addTest $ LSpec.check tactic (state1.goals.length = 1)
   addTest $ LSpec.test "(1 root)" state1.rootExpr?.isNone
-  let state2 ← match ← state1.execute (goalId := 0) (tactic := "simp [Nat.add_assoc, Nat.add_comm, Nat.add_left_comm, Nat.mul_comm, Nat.mul_assoc, Nat.mul_left_comm] at *") with
+  let state2 ← match ← state1.tacticOn (goalId := 0) (tactic := "simp [Nat.add_assoc, Nat.add_comm, Nat.add_left_comm, Nat.mul_comm, Nat.mul_assoc, Nat.mul_left_comm] at *") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
   addTest $ LSpec.check "simp ..." (state2.goals.length = 1)
   addTest $ LSpec.check "(2 root)" state2.rootExpr?.isNone
-  let state3 ← match ← state2.execute (goalId := 0) (tactic := "assumption") with
+  let tactic := "assumption"
+  let state3 ← match ← state2.tacticOn (goalId := 0) (tactic := tactic) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
-  addTest $ LSpec.test "assumption" state3.goals.isEmpty
+  addTest $ LSpec.test tactic state3.goals.isEmpty
   addTest $ LSpec.check "(3 root)" state3.rootExpr?.isSome
   return ()
 
@@ -195,7 +228,7 @@ example: ∀ (p q: Prop), p ∨ q → q ∨ p := by
     assumption
   . apply Or.inl
     assumption
-def proof_or_comm: TestM Unit := do
+def test_or_comm: TestM Unit := do
   let state? ← startProof (.expr "∀ (p q: Prop), p ∨ q → q ∨ p")
   let state0 ← match state? with
     | .some state => pure state
@@ -205,54 +238,82 @@ def proof_or_comm: TestM Unit := do
   addTest $ LSpec.check "(0 parent)" state0.parentExpr?.isNone
   addTest $ LSpec.check "(0 root)" state0.rootExpr?.isNone
 
-  let state1 ← match ← state0.execute (goalId := 0) (tactic := "intro p q h") with
+  let tactic := "intro p q h"
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
-  addTest $ LSpec.check "intro n m" ((← state1.serializeGoals (options := ← read)).map (·.devolatilize) =
-    #[buildGoal [("p", "Prop"), ("q", "Prop"), ("h", "p ∨ q")] "q ∨ p"])
+  let fvP := "_uniq.10"
+  let fvQ := "_uniq.13"
+  let fvH := "_uniq.16"
+  let state1g0 := "_uniq.17"
+  addTest $ LSpec.check tactic ((← state1.serializeGoals (options := ← read)) =
+    #[{
+      name := state1g0,
+      target := { pp? := .some "q ∨ p" },
+      vars := #[
+        { name := fvP, userName := "p", type? := .some { pp? := .some "Prop" } },
+        { name := fvQ, userName := "q", type? := .some { pp? := .some "Prop" } },
+        { name := fvH, userName := "h", type? := .some { pp? := .some "p ∨ q" } }
+      ]
+    }])
   addTest $ LSpec.check "(1 parent)" state1.parentExpr?.isSome
   addTest $ LSpec.check "(1 root)" state1.rootExpr?.isNone
-  let state2 ← match ← state1.execute (goalId := 0) (tactic := "cases h") with
+
+  let state1parent ← state1.withParentContext do
+    serializeExpressionSexp (← instantiateAll state1.parentExpr?.get!) (sanitize := false)
+  addTest $ LSpec.test "(1 parent)" (state1parent == s!"(:lambda p (:sort 0) (:lambda q (:sort 0) (:lambda h ((:c Or) 1 0) (:subst (:mv {state1g0}) 2 1 0))))")
+  let tactic := "cases h"
+  let state2 ← match ← state1.tacticOn (goalId := 0) (tactic := tactic) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
-  addTest $ LSpec.check "cases h" ((← state2.serializeGoals (options := ← read)).map (·.devolatilize) =
+  addTest $ LSpec.check tactic ((← state2.serializeGoals (options := ← read)).map (·.devolatilize) =
     #[branchGoal "inl" "p", branchGoal "inr" "q"])
-  addTest $ LSpec.check "(2 parent)" state2.parentExpr?.isSome
+  let (caseL, caseR) := ("_uniq.64", "_uniq.77")
+  addTest $ LSpec.check tactic ((← state2.serializeGoals (options := ← read)).map (·.name) =
+    #[caseL, caseR])
+  addTest $ LSpec.check "(2 parent exists)" state2.parentExpr?.isSome
   addTest $ LSpec.check "(2 root)" state2.rootExpr?.isNone
 
-  let state2parent ← serialize_expression_ast state2.parentExpr?.get! (sanitize := false)
-  -- This is due to delayed assignment
+  let state2parent ← state2.withParentContext do
+    serializeExpressionSexp (← instantiateAll state2.parentExpr?.get!) (sanitize := false)
+  let orPQ := s!"((:c Or) (:fv {fvP}) (:fv {fvQ}))"
+  let orQP := s!"((:c Or) (:fv {fvQ}) (:fv {fvP}))"
+  let motive := s!"(:lambda t._@._hyg.26 {orPQ} (:forall h ((:c Eq) ((:c Or) (:fv {fvP}) (:fv {fvQ})) (:fv {fvH}) 0) {orQP}))"
+  let caseL := s!"(:lambda h._@._hyg.27 (:fv {fvP}) (:lambda h._@._hyg.28 ((:c Eq) {orPQ} (:fv {fvH}) ((:c Or.inl) (:fv {fvP}) (:fv {fvQ}) 0)) (:subst (:mv {caseL}) (:fv {fvP}) (:fv {fvQ}) 1)))"
+  let caseR := s!"(:lambda h._@._hyg.29 (:fv {fvQ}) (:lambda h._@._hyg.30 ((:c Eq) {orPQ} (:fv {fvH}) ((:c Or.inr) (:fv {fvP}) (:fv {fvQ}) 0)) (:subst (:mv {caseR}) (:fv {fvP}) (:fv {fvQ}) 1)))"
+  let conduit := s!"((:c Eq.refl) {orPQ} (:fv {fvH}))"
   addTest $ LSpec.test "(2 parent)" (state2parent ==
-    "((:mv _uniq.43) (:fv _uniq.16) ((:c Eq.refl) ((:c Or) (:fv _uniq.10) (:fv _uniq.13)) (:fv _uniq.16)))")
+    s!"((:c Or.casesOn) (:fv {fvP}) (:fv {fvQ}) {motive} (:fv {fvH}) {caseL} {caseR} {conduit})")
 
-  let state3_1 ← match ← state2.execute (goalId := 0) (tactic := "apply Or.inr") with
+  let state3_1 ← match ← state2.tacticOn (goalId := 0) (tactic := "apply Or.inr") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
-  let state3_1parent ← serialize_expression_ast state3_1.parentExpr?.get! (sanitize := false)
-  addTest $ LSpec.test "(3_1 parent)" (state3_1parent == "((:c Or.inr) (:fv _uniq.13) (:fv _uniq.10) (:mv _uniq.78))")
+  let state3_1parent ← state3_1.withParentContext do
+    serializeExpressionSexp (← instantiateAll state3_1.parentExpr?.get!) (sanitize := false)
+  addTest $ LSpec.test "(3_1 parent)" (state3_1parent == s!"((:c Or.inr) (:fv {fvQ}) (:fv {fvP}) (:mv _uniq.91))")
   addTest $ LSpec.check "· apply Or.inr" (state3_1.goals.length = 1)
-  let state4_1 ← match ← state3_1.execute (goalId := 0) (tactic := "assumption") with
+  let state4_1 ← match ← state3_1.tacticOn (goalId := 0) (tactic := "assumption") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
   addTest $ LSpec.check "  assumption" state4_1.goals.isEmpty
-  let state4_1parent ← serialize_expression_ast state4_1.parentExpr?.get! (sanitize := false)
-  addTest $ LSpec.test "(4_1 parent)" (state4_1parent == "(:fv _uniq.47)")
+  let state4_1parent ← instantiateAll state4_1.parentExpr?.get!
+  addTest $ LSpec.test "(4_1 parent)" state4_1parent.isFVar
   addTest $ LSpec.check "(4_1 root)" state4_1.rootExpr?.isNone
-  let state3_2 ← match ← state2.execute (goalId := 1) (tactic := "apply Or.inl") with
+  let state3_2 ← match ← state2.tacticOn (goalId := 1) (tactic := "apply Or.inl") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
   addTest $ LSpec.check "· apply Or.inl" (state3_2.goals.length = 1)
-  let state4_2 ← match ← state3_2.execute (goalId := 0) (tactic := "assumption") with
+  let state4_2 ← match ← state3_2.tacticOn (goalId := 0) (tactic := "assumption") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -266,13 +327,13 @@ def proof_or_comm: TestM Unit := do
       return ()
     | .ok state => pure state
   addTest $ LSpec.test "(resume)" (state2b.goals == [state2.goals.get! 0])
-  let state3_1 ← match ← state2b.execute (goalId := 0) (tactic := "apply Or.inr") with
+  let state3_1 ← match ← state2b.tacticOn (goalId := 0) (tactic := "apply Or.inr") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
   addTest $ LSpec.check "· apply Or.inr" (state3_1.goals.length = 1)
-  let state4_1 ← match ← state3_1.execute (goalId := 0) (tactic := "assumption") with
+  let state4_1 ← match ← state3_1.tacticOn (goalId := 0) (tactic := "assumption") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -287,30 +348,377 @@ def proof_or_comm: TestM Unit := do
       userName? := .some caseName,
       target := { pp? := .some "q ∨ p" },
       vars := #[
-        { userName := "p", type? := .some typeProp, isInaccessible? := .some false },
-        { userName := "q", type? := .some typeProp, isInaccessible? := .some false },
-        { userName := "h✝", type? := .some { pp? := .some varName }, isInaccessible? := .some true }
+        { userName := "p", type? := .some typeProp },
+        { userName := "q", type? := .some typeProp },
+        { userName := "h✝", type? := .some { pp? := .some varName }, isInaccessible := true }
       ]
     }
 
+example : ∀ (a b c1 c2: Nat), (b + a) + c1 = (b + a) + c2 → (a + b) + c1 = (b + a) + c2 := by
+  intro a b c1 c2 h
+  conv =>
+    lhs
+    congr
+    . rw [Nat.add_comm]
+    . rfl
+  exact h
 
-def suite: IO LSpec.TestSeq := do
-  let env: Lean.Environment ← Lean.importModules
-    (imports := #[{ module := "Init".toName, runtimeOnly := false}])
-    (opts := {})
-    (trustLevel := 1)
+def test_conv: TestM Unit := do
+  let state? ← startProof (.expr "∀ (a b c1 c2: Nat), (b + a) + c1 = (b + a) + c2 → (a + b) + c1 = (b + a) + c2")
+  let state0 ← match state? with
+    | .some state => pure state
+    | .none => do
+      addTest $ assertUnreachable "Goal could not parse"
+      return ()
+
+  let tactic := "intro a b c1 c2 h"
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← state1.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[interiorGoal [] "a + b + c1 = b + a + c2"])
+
+  let state2 ← match ← state1.conv (state1.get! 0) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check "conv => ..." ((← state2.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[{ interiorGoal [] "a + b + c1 = b + a + c2" with isConversion := true }])
+
+  let convTactic := "rhs"
+  let state3R ← match ← state2.tacticOn (goalId := 0) convTactic with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!"  {convTactic} (discard)" ((← state3R.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[{ interiorGoal [] "b + a + c2" with isConversion := true }])
+
+  let convTactic := "lhs"
+  let state3L ← match ← state2.tacticOn (goalId := 0) convTactic with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!"  {convTactic}" ((← state3L.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[{ interiorGoal [] "a + b + c1" with isConversion := true }])
+
+  let convTactic := "congr"
+  let state4 ← match ← state3L.tacticOn (goalId := 0) convTactic with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!"  {convTactic}" ((← state4.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[
+      { interiorGoal [] "a + b" with isConversion := true, userName? := .some "a" },
+      { interiorGoal [] "c1" with isConversion := true, userName? := .some "a" }
+    ])
+
+  let convTactic := "rw [Nat.add_comm]"
+  let state5_1 ← match ← state4.tacticOn (goalId := 0) convTactic with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!"  · {convTactic}" ((← state5_1.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[{ interiorGoal [] "b + a" with isConversion := true, userName? := .some "a" }])
+
+  let convTactic := "rfl"
+  let state6_1 ← match ← state5_1.tacticOn (goalId := 0) convTactic with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!"    {convTactic}" ((← state6_1.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[])
+
+  let state4_1 ← match state6_1.continue state4 with
+    | .ok state => pure state
+    | .error e => do
+      addTest $ expectationFailure "continue" e
+      return ()
+
+  let convTactic := "rfl"
+  let state6 ← match ← state4_1.tacticOn (goalId := 0) convTactic with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!"  · {convTactic}" ((← state6.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[])
+
+  let state1_1 ← match ← state6.convExit with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+
+  let tactic := "exact h"
+  let stateF ← match ← state1_1.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← stateF.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[])
+
+  where
+    h := "b + a + c1 = b + a + c2"
+    interiorGoal (free: List (String × String)) (target: String) :=
+      let free := [("a", "Nat"), ("b", "Nat"), ("c1", "Nat"), ("c2", "Nat"), ("h", h)] ++ free
+      buildGoal free target
+
+example : ∀ (a b c d: Nat), a + b = b + c → b + c = c + d → a + b = c + d := by
+  intro a b c d h1 h2
+  calc a + b = b + c := by apply h1
+    _ = c + d := by apply h2
+
+def test_calc: TestM Unit := do
+  let state? ← startProof (.expr "∀ (a b c d: Nat), a + b = b + c → b + c = c + d → a + b = c + d")
+  let state0 ← match state? with
+    | .some state => pure state
+    | .none => do
+      addTest $ assertUnreachable "Goal could not parse"
+      return ()
+  let tactic := "intro a b c d h1 h2"
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← state1.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[interiorGoal [] "a + b = c + d"])
+  let pred := "a + b = b + c"
+  let state2 ← match ← state1.tryCalc (state1.get! 0) (pred := pred) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!"calc {pred} := _" ((← state2.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[
+      interiorGoal [] "a + b = b + c" (.some "calc"),
+      interiorGoal [] "b + c = c + d"
+    ])
+  addTest $ LSpec.test "(2.0 prev rhs)" (state2.calcPrevRhsOf? (state2.get! 0) |>.isNone)
+  addTest $ LSpec.test "(2.1 prev rhs)" (state2.calcPrevRhsOf? (state2.get! 1) |>.isSome)
+
+  let tactic := "apply h1"
+  let state2m ← match ← state2.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  let state3 ← match state2m.continue state2 with
+    | .ok state => pure state
+    | .error e => do
+      addTest $ expectationFailure "continue" e
+      return ()
+  let pred := "_ = c + d"
+  let state4 ← match ← state3.tryCalc (state3.get! 0) (pred := pred) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!"calc {pred} := _" ((← state4.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[
+      interiorGoal [] "b + c = c + d" (.some "calc")
+    ])
+  addTest $ LSpec.test "(4.0 prev rhs)" (state4.calcPrevRhsOf? (state4.get! 0) |>.isNone)
+  let tactic := "apply h2"
+  let state4m ← match ← state4.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.test "(4m root)" state4m.rootExpr?.isSome
+  where
+    interiorGoal (free: List (String × String)) (target: String) (userName?: Option String := .none) :=
+      let free := [("a", "Nat"), ("b", "Nat"), ("c", "Nat"), ("d", "Nat"),
+        ("h1", "a + b = b + c"), ("h2", "b + c = c + d")] ++ free
+      buildGoal free target userName?
+
+def test_nat_zero_add: TestM Unit := do
+  let state? ← startProof (.expr "∀ (n: Nat), n + 0 = n")
+  let state0 ← match state? with
+    | .some state => pure state
+    | .none => do
+      addTest $ assertUnreachable "Goal could not parse"
+      return ()
+  let tactic := "intro n"
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← state1.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[buildGoal [("n", "Nat")] "n + 0 = n"])
+  let recursor := "@Nat.brecOn"
+  let state2 ← match ← state1.tryMotivatedApply (state1.get! 0) (recursor := recursor) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!"mapply {recursor}" ((← state2.serializeGoals (options := ← read)).map (·.devolatilizeVars) =
+    #[
+      buildNamedGoal "_uniq.67" [("n", "Nat")] "Nat → Prop" (.some "motive"),
+      buildNamedGoal "_uniq.68" [("n", "Nat")] "Nat",
+      buildNamedGoal "_uniq.69" [("n", "Nat")] "∀ (t : Nat), Nat.below t → ?motive t",
+      buildNamedGoal "_uniq.70" [("n", "Nat")] "?motive ?m.68 = (n + 0 = n)" (.some "conduit")
+    ])
+
+  let tactic := "exact n"
+  let state3b ← match ← state2.tacticOn (goalId := 1) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← state3b.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[])
+  let state2b ← match state3b.continue state2 with
+    | .ok state => pure state
+    | .error e => do
+      addTest $ assertUnreachable e
+      return ()
+  let tactic := "exact (λ x => x + 0 = x)"
+  let state3c ← match ← state2b.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← state3c.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[])
+  let state2c ← match state3c.continue state2b with
+    | .ok state => pure state
+    | .error e => do
+      addTest $ assertUnreachable e
+      return ()
+  let tactic := "intro t h"
+  let state3 ← match ← state2c.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← state3.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[buildGoal [("n", "Nat"), ("t", "Nat"), ("h", "Nat.below t")] "t + 0 = t"])
+
+  let tactic := "simp"
+  let state3d ← match ← state3.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  let state2d ← match state3d.continue state2c with
+    | .ok state => pure state
+    | .error e => do
+      addTest $ assertUnreachable e
+      return ()
+  let tactic := "rfl"
+  let stateF ← match ← state2d.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← stateF.serializeGoals (options := ← read)) =
+    #[])
+
+  let expr := stateF.mctx.eAssignment.find! stateF.root
+  let (expr, _) := instantiateMVarsCore (mctx := stateF.mctx) (e := expr)
+  addTest $ LSpec.check "(F root)" stateF.rootExpr?.isSome
+
+def test_nat_zero_add_alt: TestM Unit := do
+  let state? ← startProof (.expr "∀ (n: Nat), n + 0 = n")
+  let state0 ← match state? with
+    | .some state => pure state
+    | .none => do
+      addTest $ assertUnreachable "Goal could not parse"
+      return ()
+  let tactic := "intro n"
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← state1.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[buildGoal [("n", "Nat")] "n + 0 = n"])
+  let recursor := "@Nat.brecOn"
+  let state2 ← match ← state1.tryMotivatedApply (state1.get! 0) (recursor := recursor) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  let major := "_uniq.68"
+  addTest $ LSpec.check s!"mapply {recursor}" ((← state2.serializeGoals (options := ← read)).map (·.devolatilizeVars) =
+    #[
+      buildNamedGoal "_uniq.67" [("n", "Nat")] "Nat → Prop" (.some "motive"),
+      buildNamedGoal major [("n", "Nat")] "Nat",
+      buildNamedGoal "_uniq.69" [("n", "Nat")] "∀ (t : Nat), Nat.below t → ?motive t",
+      buildNamedGoal "_uniq.70" [("n", "Nat")] "?motive ?m.68 = (n + 0 = n)" (.some "conduit")
+    ])
+
+  let tactic := "intro x"
+  let state3m ← match ← state2.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← state3m.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[buildGoal [("n", "Nat"), ("x", "Nat")] "Prop" (.some "motive")])
+  let tactic := "apply Eq"
+  let state3m2 ← match ← state3m.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  let (eqL, eqR, eqT) := ("_uniq.88", "_uniq.89", "_uniq.87")
+  addTest $ LSpec.check tactic $ state3m2.goals.map (·.name.toString) = [eqL, eqR, eqT]
+  let [_motive, _major, _step, conduit] := state2.goals | panic! "Goals conflict"
+  let state2b ← match state3m2.resume [conduit] with
+    | .ok state => pure state
+    | .error e => do
+      addTest $ assertUnreachable e
+      return ()
+
+  let cNatAdd := "(:c HAdd.hAdd) (:c Nat) (:c Nat) (:c Nat) ((:c instHAdd) (:c Nat) (:c instAddNat))"
+  let cNat0 := "((:c OfNat.ofNat) (:c Nat) (:lit 0) ((:c instOfNatNat) (:lit 0)))"
+  let fvN := "_uniq.63"
+  let conduitRight := s!"((:c Eq) (:c Nat) ({cNatAdd} (:fv {fvN}) {cNat0}) (:fv {fvN}))"
+  let substOf (mv: String) := s!"(:subst (:mv {mv}) (:fv {fvN}) (:mv {major}))"
+  addTest $ LSpec.check "resume" ((← state2b.serializeGoals (options := { ← read with printExprAST := true })) =
+    #[
+      {
+        name := "_uniq.70",
+        userName? := .some "conduit",
+        target := {
+          pp? := .some "(?m.92 ?m.68 = ?m.94 ?m.68) = (n + 0 = n)",
+          sexp? := .some s!"((:c Eq) (:sort 0) ((:c Eq) {substOf eqT} {substOf eqL} {substOf eqR}) {conduitRight})",
+        },
+        vars := #[{
+          name := fvN,
+          userName := "n",
+          type? := .some { pp? := .some "Nat", sexp? := .some "(:c Nat)" },
+        }],
+      }
+    ])
+
+def suite (env: Environment): List (String × IO LSpec.TestSeq) :=
   let tests := [
-    ("Nat.add_comm", proof_nat_add_comm false),
-    ("Nat.add_comm manual", proof_nat_add_comm true),
-    ("Nat.add_comm delta", proof_delta_variable),
-    ("arithmetic", proof_arith),
-    ("Or.comm", proof_or_comm)
+    ("identity", test_identity),
+    ("Nat.add_comm", test_nat_add_comm false),
+    ("Nat.add_comm manual", test_nat_add_comm true),
+    ("Nat.add_comm delta", test_delta_variable),
+    ("arithmetic", test_arith),
+    ("Or.comm", test_or_comm),
+    ("conv", test_conv),
+    ("calc", test_calc),
+    ("Nat.zero_add", test_nat_zero_add),
+    ("Nat.zero_add alt", test_nat_zero_add_alt),
   ]
-  let tests ← tests.foldlM (fun acc tests => do
-    let (name, tests) := tests
-    let tests ← proofRunner env tests
-    return acc ++ (LSpec.group name tests)) LSpec.TestSeq.done
+  tests.map (fun (name, test) => (name, proofRunner env test))
+
 
-  return LSpec.group "Proofs" tests
 
 end Pantograph.Test.Proofs

Test/Serial.lean

@@ -10,25 +10,24 @@ open Pantograph
 
 deriving instance Repr, DecidableEq for Protocol.BoundExpression
 
-def test_name_to_ast: LSpec.TestSeq :=
+def test_serializeName: LSpec.TestSeq :=
   let quote := "\""
   let escape := "\\"
-  LSpec.test "a.b.1" (name_to_ast (Name.num (.str (.str .anonymous "a") "b") 1) = "a.b.1") ++
-  LSpec.test "seg.«a.b»" (name_to_ast (Name.str (.str .anonymous "seg") "a.b") = s!"{quote}seg.«a.b»{quote}") ++
+  LSpec.test "a.b.1" (serializeName (Name.num (.str (.str .anonymous "a") "b") 1) = "a.b.1") ++
+  LSpec.test "seg.«a.b»" (serializeName (Name.str (.str .anonymous "seg") "a.b") = s!"{quote}seg.«a.b»{quote}") ++
   -- Pathological test case
-  LSpec.test s!"«̈{escape}{quote}»" (name_to_ast (Name.str .anonymous s!"{escape}{quote}") = s!"{quote}«{escape}{quote}»{quote}")
+  LSpec.test s!"«̈{escape}{quote}»" (serializeName (Name.str .anonymous s!"{escape}{quote}") = s!"{quote}«{escape}{quote}»{quote}")
 
 def test_expr_to_binder (env: Environment): IO LSpec.TestSeq := do
   let entries: List (Name × Protocol.BoundExpression) := [
     ("Nat.add_comm".toName, { binders := #[("n", "Nat"), ("m", "Nat")], target := "n + m = m + n" }),
     ("Nat.le_of_succ_le".toName, { binders := #[("n", "Nat"), ("m", "Nat"), ("h", "n.succ ≤ m")], target := "n ≤ m" })
   ]
-  let coreM: CoreM LSpec.TestSeq := entries.foldlM (λ suites (symbol, target) => do
+  runCoreMSeq env $ entries.foldlM (λ suites (symbol, target) => do
     let env ← MonadEnv.getEnv
     let expr := env.find? symbol |>.get! |>.type
-    let test := LSpec.check symbol.toString ((← type_expr_to_bound expr) = target)
+    let test := LSpec.check symbol.toString ((← typeExprToBound expr) = target)
     return LSpec.TestSeq.append suites test) LSpec.TestSeq.done |>.run'
-  runCoreMSeq env coreM
 
 def test_sexp_of_symbol (env: Environment): IO LSpec.TestSeq := do
   let entries: List (String × String) := [
@@ -41,48 +40,70 @@ def test_sexp_of_symbol (env: Environment): IO LSpec.TestSeq := do
     ("Or", "(:forall a (:sort 0) (:forall b (:sort 0) (:sort 0)))"),
     ("List", "(:forall α (:sort (+ u 1)) (:sort (+ u 1)))")
   ]
-  let metaM: MetaM LSpec.TestSeq := entries.foldlM (λ suites (symbol, target) => do
+  runMetaMSeq env $ entries.foldlM (λ suites (symbol, target) => do
     let env ← MonadEnv.getEnv
     let expr := env.find? symbol.toName |>.get! |>.type
-    let test := LSpec.check symbol ((← serialize_expression_ast expr) = target)
+    let test := LSpec.check symbol ((← serializeExpressionSexp expr) = target)
     return LSpec.TestSeq.append suites test) LSpec.TestSeq.done
-  runMetaMSeq env metaM
+
+def test_sexp_of_elab (env: Environment): IO LSpec.TestSeq := do
+  let entries: List (String × (List Name) × String) := [
+    ("λ x: Nat × Bool => x.1", [], "(:lambda x ((:c Prod) (:c Nat) (:c Bool)) ((:c Prod.fst) (:c Nat) (:c Bool) 0))"),
+    ("λ x: Array Nat => x.data", [], "(:lambda x ((:c Array) (:c Nat)) ((:c Array.data) (:c Nat) 0))"),
+    ("λ {α: Sort (u + 1)} => List α", [`u], "(:lambda α (:sort (+ u 1)) ((:c List) 0) :implicit)"),
+    ("λ {α} => List α", [], "(:lambda α (:sort (+ (:mv _uniq.4) 1)) ((:c List) 0) :implicit)"),
+    ("(2: Nat) <= (5: Nat)", [], "((:c LE.le) (:mv _uniq.18) (:mv _uniq.19) ((:c OfNat.ofNat) (:mv _uniq.4) (:lit 2) (:mv _uniq.5)) ((:c OfNat.ofNat) (:mv _uniq.14) (:lit 5) (:mv _uniq.15)))"),
+  ]
+  entries.foldlM (λ suites (source, levels, target) =>
+    let termElabM := do
+      let env ← MonadEnv.getEnv
+      let s ← match parseTerm env source with
+        | .ok s => pure s
+        | .error e => return parseFailure e
+      let expr ← match (← elabTerm s) with
+        | .ok expr => pure expr
+        | .error e => return elabFailure e
+      return LSpec.check source ((← serializeExpressionSexp expr) = target)
+    let metaM := (Elab.Term.withLevelNames levels termElabM).run' (ctx := Condensed.elabContext)
+    return LSpec.TestSeq.append suites (← runMetaMSeq env metaM))
+    LSpec.TestSeq.done
 
 def test_sexp_of_expr (env: Environment): IO LSpec.TestSeq := do
-  let entries: List (String × String) := [
-    ("λ x: Nat × Bool => x.1", "(:lambda x ((:c Prod) (:c Nat) (:c Bool)) ((:c Prod.fst) (:c Nat) (:c Bool) 0))"),
-    ("λ x: Array Nat => x.data", "(:lambda x ((:c Array) (:c Nat)) ((:c Array.data) (:c Nat) 0))")
+  let entries: List (Expr × String) := [
+    (.lam `p (.sort .zero)
+        (.lam `q (.sort .zero)
+          (.lam `k (mkApp2 (.const `And []) (.bvar 1) (.bvar 0))
+            (.proj `And 1 (.bvar 0))
+            .default)
+        .implicit)
+      .implicit,
+      "(:lambda p (:sort 0) (:lambda q (:sort 0) (:lambda k ((:c And) 1 0) ((:c And.right) _ _ 0)) :implicit) :implicit)"
+    ),
   ]
-  let termElabM: Elab.TermElabM LSpec.TestSeq := entries.foldlM (λ suites (source, target) => do
+  let termElabM: Elab.TermElabM LSpec.TestSeq := entries.foldlM (λ suites (expr, target) => do
     let env ← MonadEnv.getEnv
-    let s := syntax_from_str env source |>.toOption |>.get!
-    let expr := (← syntax_to_expr s) |>.toOption |>.get!
-    let test := LSpec.check source ((← serialize_expression_ast expr) = target)
+    let testCaseName := target.take 10
+    let test := LSpec.check   testCaseName ((← serializeExpressionSexp expr) = target)
     return LSpec.TestSeq.append suites test) LSpec.TestSeq.done
-  let metaM := termElabM.run' (ctx := defaultTermElabMContext)
-  runMetaMSeq env metaM
+  runMetaMSeq env $ termElabM.run' (ctx := Condensed.elabContext)
 
 -- Instance parsing
-def test_instance (env: Environment): IO LSpec.TestSeq := do
-  let metaM: MetaM LSpec.TestSeq := do
+def test_instance (env: Environment): IO LSpec.TestSeq :=
+  runMetaMSeq env do
     let env ← MonadEnv.getEnv
     let source := "λ x y: Nat => HAdd.hAdd Nat Nat Nat (instHAdd Nat instAddNat) x y"
-    let s := syntax_from_str env source |>.toOption |>.get!
-    let _expr := (← runTermElabMInMeta <| syntax_to_expr s) |>.toOption |>.get!
+    let s := parseTerm env source |>.toOption |>.get!
+    let _expr := (← runTermElabMInMeta <| elabTerm s) |>.toOption |>.get!
     return LSpec.TestSeq.done
-  runMetaMSeq env metaM
 
-def suite: IO LSpec.TestSeq := do
-  let env: Environment ← importModules
-    (imports := #["Init"].map (λ str => { module := str.toName, runtimeOnly := false }))
-    (opts := {})
-    (trustLevel := 1)
-
-  return LSpec.group "Serialization" $
-    (LSpec.group "name_to_ast" test_name_to_ast) ++
-    (LSpec.group "Expression binder" (← test_expr_to_binder env)) ++
-    (LSpec.group "Sexp from symbol" (← test_sexp_of_symbol env)) ++
-    (LSpec.group "Sexp from expr" (← test_sexp_of_expr env)) ++
-    (LSpec.group "Instance" (← test_instance env))
+def suite (env: Environment): List (String × IO LSpec.TestSeq) :=
+  [
+    ("serializeName", do pure test_serializeName),
+    ("Expression binder", test_expr_to_binder env),
+    ("Sexp from symbol", test_sexp_of_symbol env),
+    ("Sexp from elaborated expr", test_sexp_of_elab env),
+    ("Sexp from expr", test_sexp_of_expr env),
+    ("Instance", test_instance env),
+  ]
 
 end Pantograph.Test.Serial

Test/Tactic.lean

@@ -0,0 +1,4 @@
+import Test.Tactic.Congruence
+import Test.Tactic.MotivatedApply
+import Test.Tactic.NoConfuse
+import Test.Tactic.Prograde

Test/Tactic/Congruence.lean

@@ -0,0 +1,88 @@
+import LSpec
+import Lean
+import Test.Common
+
+open Lean
+open Pantograph
+
+namespace Pantograph.Test.Tactic.Congruence
+
+def test_congr_arg_list : TestT Elab.TermElabM Unit := do
+  let expr := "λ {α} (l1 l2 : List α) (h: l1 = l2) => l1.reverse = l2.reverse"
+  let expr ← parseSentence expr
+  Meta.lambdaTelescope expr $ λ _ body => do
+    let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
+    let newGoals ← runTacticOnMVar Tactic.evalCongruenceArg target.mvarId!
+    addTest $ LSpec.check "goals" ((← newGoals.mapM (λ x => mvarUserNameAndType x)) =
+      [
+        (`α, "Sort ?u.30"),
+        (`a₁, "?α"),
+        (`a₂, "?α"),
+        (`f, "?α → List α"),
+        (`h, "?a₁ = ?a₂"),
+        (`conduit, "(?f ?a₁ = ?f ?a₂) = (l1.reverse = l2.reverse)"),
+      ])
+    let f := newGoals.get! 3
+    let h := newGoals.get! 4
+    let c := newGoals.get! 5
+    let results ← Meta.withAssignableSyntheticOpaque do f.apply (← parseSentence "List.reverse")
+    addTest $ LSpec.check "apply" (results.length = 0)
+    addTest $ LSpec.check "h" ((← exprToStr $ ← h.getType) = "?a₁ = ?a₂")
+    addTest $ LSpec.check "conduit" ((← exprToStr $ ← c.getType) = "(?a₁.reverse = ?a₂.reverse) = (l1.reverse = l2.reverse)")
+def test_congr_arg : TestT Elab.TermElabM Unit := do
+  let expr := "λ (n m: Nat) (h: n = m) => n * n = m * m"
+  let expr ← parseSentence expr
+  Meta.lambdaTelescope expr $ λ _ body => do
+    let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
+    let newGoals ← runTacticOnMVar Tactic.evalCongruenceArg target.mvarId!
+    addTest $  LSpec.check "goals" ((← newGoals.mapM (λ x => mvarUserNameAndType x)) =
+      [
+        (`α, "Sort ?u.70"),
+        (`a₁, "?α"),
+        (`a₂, "?α"),
+        (`f, "?α → Nat"),
+        (`h, "?a₁ = ?a₂"),
+        (`conduit, "(?f ?a₁ = ?f ?a₂) = (n * n = m * m)"),
+      ])
+def test_congr_fun : TestT Elab.TermElabM Unit := do
+  let expr := "λ (n m: Nat) => (n + m) + (n + m) = (n + m) * 2"
+  let expr ← parseSentence expr
+  Meta.lambdaTelescope expr $ λ _ body => do
+    let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
+    let newGoals ← runTacticOnMVar Tactic.evalCongruenceFun target.mvarId!
+    addTest $ LSpec.check "goals" ((← newGoals.mapM (λ x => mvarUserNameAndType x)) =
+      [
+        (`α, "Sort ?u.159"),
+        (`f₁, "?α → Nat"),
+        (`f₂, "?α → Nat"),
+        (`h, "?f₁ = ?f₂"),
+        (`a, "?α"),
+        (`conduit, "(?f₁ ?a = ?f₂ ?a) = (n + m + (n + m) = (n + m) * 2)"),
+      ])
+def test_congr : TestT Elab.TermElabM Unit := do
+  let expr := "λ (a b: Nat) => a = b"
+  let expr ← parseSentence expr
+  Meta.lambdaTelescope expr $ λ _ body => do
+    let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
+    let newGoals ← runTacticOnMVar Tactic.evalCongruence target.mvarId!
+    addTest $  LSpec.check "goals" ((← newGoals.mapM (λ x => mvarUserNameAndType x)) =
+      [
+        (`α, "Sort ?u.10"),
+        (`f₁, "?α → Nat"),
+        (`f₂, "?α → Nat"),
+        (`a₁, "?α"),
+        (`a₂, "?α"),
+        (`h₁, "?f₁ = ?f₂"),
+        (`h₂, "?a₁ = ?a₂"),
+        (`conduit, "(?f₁ ?a₁ = ?f₂ ?a₂) = (a = b)"),
+      ])
+
+def suite (env: Environment): List (String × IO LSpec.TestSeq) :=
+  [
+    ("congrArg List.reverse", test_congr_arg_list),
+    ("congrArg", test_congr_arg),
+    ("congrFun", test_congr_fun),
+    ("congr", test_congr),
+  ] |>.map (λ (name, t) => (name, runTestTermElabM env t))
+
+end Pantograph.Test.Tactic.Congruence

Test/Tactic/MotivatedApply.lean

@@ -0,0 +1,113 @@
+import LSpec
+import Lean
+import Test.Common
+
+open Lean
+open Pantograph
+
+namespace Pantograph.Test.Tactic.MotivatedApply
+
+def test_type_extract : TestT Elab.TermElabM Unit := do
+  let recursor ← parseSentence "@Nat.brecOn"
+  let recursorType ← Meta.inferType recursor
+  addTest $ LSpec.check "recursorType" ("{motive : Nat → Sort ?u.1} → (t : Nat) → ((t : Nat) → Nat.below t → motive t) → motive t" =
+    (← exprToStr recursorType))
+  let info ← match Tactic.getRecursorInformation recursorType with
+    | .some info => pure info
+    | .none => throwError "Failed to extract recursor info"
+  addTest $ LSpec.check "iMotive" (info.iMotive = 2)
+  let motiveType := info.getMotiveType
+  addTest $ LSpec.check "motiveType" ("Nat → Sort ?u.1" =
+    (← exprToStr motiveType))
+
+def test_nat_brec_on : TestT Elab.TermElabM Unit := do
+  let expr := "λ (n t: Nat) => n + 0 = n"
+  let expr ← parseSentence expr
+  Meta.lambdaTelescope expr $ λ _ body => do
+    let recursor ← match Parser.runParserCategory
+      (env := ← MonadEnv.getEnv)
+      (catName := `term)
+      (input := "@Nat.brecOn")
+      (fileName := filename) with
+      | .ok syn => pure syn
+      | .error error => throwError "Failed to parse: {error}"
+    -- Apply the tactic
+    let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
+    let tactic := Tactic.evalMotivatedApply recursor
+    let newGoals ← runTacticOnMVar tactic target.mvarId!
+    let test :=  LSpec.check "goals" ((← newGoals.mapM (λ g => do exprToStr (← g.getType))) =
+      [
+        "Nat → Prop",
+        "Nat",
+        "∀ (t : Nat), Nat.below t → ?motive t",
+        "?motive ?m.67 = (n + 0 = n)",
+      ])
+    addTest test
+
+def test_list_brec_on : TestT Elab.TermElabM Unit := do
+  let expr := "λ {α : Type} (l: List α) => l ++ [] = [] ++ l"
+  let expr ← parseSentence expr
+  Meta.lambdaTelescope expr $ λ _ body => do
+    let recursor ← match Parser.runParserCategory
+      (env := ← MonadEnv.getEnv)
+      (catName := `term)
+      (input := "@List.brecOn")
+      (fileName := filename) with
+      | .ok syn => pure syn
+      | .error error => throwError "Failed to parse: {error}"
+    -- Apply the tactic
+    let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
+    let tactic := Tactic.evalMotivatedApply recursor
+    let newGoals ← runTacticOnMVar tactic target.mvarId!
+    addTest $ LSpec.check "goals" ((← newGoals.mapM (λ g => do exprToStr (← g.getType))) =
+      [
+        "Type ?u.90",
+        "List ?m.92 → Prop",
+        "List ?m.92",
+        "∀ (t : List ?m.92), List.below t → ?motive t",
+        "?motive ?m.94 = (l ++ [] = [] ++ l)",
+      ])
+
+def test_partial_motive_instantiation : TestT Elab.TermElabM Unit := do
+  let expr := "λ (n t: Nat) => n + 0 = n"
+  let recursor ← match Parser.runParserCategory
+    (env := ← MonadEnv.getEnv)
+    (catName := `term)
+    (input := "@Nat.brecOn")
+    (fileName := filename) with
+    | .ok syn => pure syn
+    | .error error => throwError "Failed to parse: {error}"
+  let expr ← parseSentence expr
+  Meta.lambdaTelescope expr $ λ _ body => do
+    -- Apply the tactic
+    let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
+    let tactic := Tactic.evalMotivatedApply recursor
+    let newGoals ← runTacticOnMVar tactic target.mvarId!
+    let majorId := 67
+    addTest $ (LSpec.check "goals" ((← newGoals.mapM (λ g => do exprToStr (← g.getType))) =
+      [
+        "Nat → Prop",
+        "Nat",
+        "∀ (t : Nat), Nat.below t → ?motive t",
+        s!"?motive ?m.{majorId} = (n + 0 = n)",
+      ]))
+    let [motive, major, step, conduit] := newGoals | panic! "Incorrect goal number"
+    addTest $ (LSpec.check "goal name" (major.name.toString = s!"_uniq.{majorId}"))
+
+    -- Assign motive to `λ x => x + _`
+    let motive_assign ← parseSentence "λ (x: Nat) => @Nat.add x + 0 = _"
+    motive.assign motive_assign
+
+    addTest $ ← conduit.withContext do
+      let t := toString (← Meta.ppExpr $ ← conduit.getType)
+      return LSpec.check "conduit" (t = s!"(?m.{majorId}.add + 0 = ?m.138 ?m.{majorId}) = (n + 0 = n)")
+
+def suite (env: Environment): List (String × IO LSpec.TestSeq) :=
+  [
+    ("type_extract", test_type_extract),
+    ("Nat.brecOn", test_nat_brec_on),
+    ("List.brecOn", test_list_brec_on),
+    ("Nat.brecOn partial motive instantiation", test_partial_motive_instantiation),
+  ] |>.map (λ (name, t) => (name, runTestTermElabM env t))
+
+end Pantograph.Test.Tactic.MotivatedApply

Test/Tactic/NoConfuse.lean

@@ -0,0 +1,72 @@
+import LSpec
+import Lean
+import Test.Common
+
+open Lean
+open Pantograph
+
+namespace Pantograph.Test.Tactic.NoConfuse
+
+def test_nat : TestT Elab.TermElabM Unit := do
+  let expr := "λ (n: Nat) (h: 0 = n + 1) => False"
+  let expr ← parseSentence expr
+  Meta.lambdaTelescope expr $ λ _ body => do
+    let recursor ← match Parser.runParserCategory
+      (env := ← MonadEnv.getEnv)
+      (catName := `term)
+      (input := "h")
+      (fileName := filename) with
+      | .ok syn => pure syn
+      | .error error => throwError "Failed to parse: {error}"
+    -- Apply the tactic
+    let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
+    let tactic := Tactic.evalNoConfuse recursor
+    let newGoals ← runTacticOnMVar tactic target.mvarId!
+    addTest $ LSpec.check "goals" ((← newGoals.mapM (λ g => do exprToStr (← g.getType))) = [])
+
+def test_nat_fail : TestT Elab.TermElabM Unit := do
+  let expr := "λ (n: Nat) (h: n = n) => False"
+  let expr ← parseSentence expr
+  Meta.lambdaTelescope expr $ λ _ body => do
+    let recursor ← match Parser.runParserCategory
+      (env := ← MonadEnv.getEnv)
+      (catName := `term)
+      (input := "h")
+      (fileName := filename) with
+      | .ok syn => pure syn
+      | .error error => throwError "Failed to parse: {error}"
+    -- Apply the tactic
+    let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
+    try
+      let tactic := Tactic.evalNoConfuse recursor
+      let _ ← runTacticOnMVar tactic target.mvarId!
+      addTest $ assertUnreachable "Tactic should fail"
+    catch _ =>
+      addTest $ LSpec.check "Tactic should fail" true
+
+def test_list : TestT Elab.TermElabM Unit := do
+  let expr := "λ (l: List Nat) (h: [] = 1 :: l) => False"
+  let expr ← parseSentence expr
+  Meta.lambdaTelescope expr $ λ _ body => do
+    let recursor ← match Parser.runParserCategory
+      (env := ← MonadEnv.getEnv)
+      (catName := `term)
+      (input := "h")
+      (fileName := filename) with
+      | .ok syn => pure syn
+      | .error error => throwError "Failed to parse: {error}"
+    -- Apply the tactic
+    let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
+    let tactic := Tactic.evalNoConfuse recursor
+    let newGoals ← runTacticOnMVar tactic target.mvarId!
+    addTest $ LSpec.check "goals"
+      ((← newGoals.mapM (λ g => do exprToStr (← g.getType))) = [])
+
+def suite (env: Environment): List (String × IO LSpec.TestSeq) :=
+  [
+    ("Nat", test_nat),
+    ("Nat fail", test_nat_fail),
+    ("List", test_list),
+  ] |>.map (λ (name, t) => (name, runTestTermElabM env t))
+
+end Pantograph.Test.Tactic.NoConfuse

Test/Tactic/Prograde.lean

@@ -0,0 +1,300 @@
+import LSpec
+import Lean
+import Test.Common
+
+open Lean
+open Pantograph
+
+namespace Pantograph.Test.Tactic.Prograde
+
+def test_define : TestT Elab.TermElabM Unit := do
+  let expr := "forall (p q : Prop) (h: p), And (Or p q) (Or p q)"
+  let expr ← parseSentence expr
+  Meta.forallTelescope expr $ λ _ body => do
+    let e ← match Parser.runParserCategory
+      (env := ← MonadEnv.getEnv)
+      (catName := `term)
+      (input := "Or.inl h")
+      (fileName := filename) with
+      | .ok syn => pure syn
+      | .error error => throwError "Failed to parse: {error}"
+    -- Apply the tactic
+    let goal ← Meta.mkFreshExprSyntheticOpaqueMVar body
+    let target: Expr := mkAnd
+      (mkOr (.fvar ⟨uniq 8⟩) (.fvar ⟨uniq 9⟩))
+      (mkOr (.fvar ⟨uniq 8⟩) (.fvar ⟨uniq 9⟩))
+    let h := .fvar ⟨uniq 8⟩
+    addTest $ LSpec.test "goals before" ((← toCondensedGoal goal.mvarId!).devolatilize == {
+      context := #[
+        cdeclOf `p (.sort 0),
+        cdeclOf `q (.sort 0),
+        cdeclOf `h h
+      ],
+      target,
+    })
+    let tactic := Tactic.evalDefine `h2 e
+    let m := .mvar ⟨uniq 13⟩
+    let [newGoal] ← runTacticOnMVar tactic goal.mvarId! | panic! "Incorrect goal number"
+    addTest $ LSpec.test "goals after" ((← toCondensedGoal newGoal).devolatilize == {
+      context := #[
+        cdeclOf `p (.sort 0),
+        cdeclOf `q (.sort 0),
+        cdeclOf `h h,
+        {
+          userName := `h2,
+          type := mkOr h m,
+          value? := .some $ mkApp3 (mkConst `Or.inl) h m (.fvar ⟨uniq 10⟩)
+        }
+      ],
+      target,
+    })
+    let .some e ← getExprMVarAssignment? goal.mvarId! | panic! "Tactic must assign"
+    addTest $ LSpec.test "assign" e.isLet
+
+def test_define_proof : TestT Elab.TermElabM Unit := do
+  let rootExpr ← parseSentence "∀ (p q: Prop), p → ((p ∨ q) ∨ (p ∨ q))"
+  let state0 ← GoalState.create rootExpr
+  let tactic := "intro p q h"
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← state1.serializeGoals).map (·.devolatilize) =
+    #[buildGoal [("p", "Prop"), ("q", "Prop"), ("h", "p")] "(p ∨ q) ∨ p ∨ q"])
+
+  let expr := "Or.inl (Or.inl h)"
+  let state2 ← match ← state1.tryAssign (state1.get! 0) (expr := expr) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!":= {expr}" ((← state2.serializeGoals).map (·.devolatilize) =
+    #[])
+
+  let evalBind := "y"
+  let evalExpr := "Or.inl h"
+  let state2 ← match ← state1.tryDefine (state1.get! 0) (binderName := evalBind) (expr := evalExpr) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!"eval {evalBind} := {evalExpr}" ((← state2.serializeGoals).map (·.devolatilize) =
+    #[{
+      target := { pp? := .some  "(p ∨ q) ∨ p ∨ q"},
+      vars := #[
+        { userName := "p", type? := .some { pp? := .some "Prop" } },
+        { userName := "q", type? := .some { pp? := .some "Prop" } },
+        { userName := "h", type? := .some { pp? := .some "p" } },
+        { userName := "y",
+          type? := .some { pp? := .some "p ∨ ?m.25" },
+          value? := .some { pp? := .some "Or.inl h" },
+        }
+      ]
+  }])
+
+  let expr := "Or.inl y"
+  let state3 ← match ← state2.tryAssign (state2.get! 0) (expr := expr) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!":= {expr}" ((← state3.serializeGoals).map (·.devolatilize) =
+    #[])
+
+  addTest $ LSpec.check "(3 root)" state3.rootExpr?.isSome
+
+def fun_define_root_expr: ∀ (p: Prop), PProd (Nat → p) Unit → p := by
+  intro p x
+  apply x.fst
+  exact 5
+
+def test_define_root_expr : TestT Elab.TermElabM Unit := do
+  --let rootExpr ← parseSentence "Nat"
+  --let state0 ← GoalState.create rootExpr
+  --let .success state1 ← state0.tacticOn (goalId := 0) "exact 5" | addTest $ assertUnreachable "exact 5"
+  --let .some rootExpr := state1.rootExpr? | addTest $ assertUnreachable "Root expr"
+  --addTest $ LSpec.check "root" ((toString $ ← Meta.ppExpr rootExpr) = "5")
+  let rootExpr ← parseSentence "∀ (p: Prop), PProd (Nat → p) Unit → p"
+  let state0 ← GoalState.create rootExpr
+  let tactic := "intro p x"
+  let .success state1 ← state0.tacticOn (goalId := 0) tactic | addTest $ assertUnreachable tactic
+  let binderName := `binder
+  let value := "x.fst"
+  let expr ← state1.goals[0]!.withContext $ strToTermSyntax value
+  let tacticM := Tactic.evalDefine binderName expr
+  let .success state2 ← state1.tryTacticM (state1.get! 0) tacticM | addTest $ assertUnreachable s!"define {binderName} := {value}"
+  let tactic := s!"apply {binderName}"
+  let .success state3 ← state2.tacticOn (goalId := 0) tactic | addTest $ assertUnreachable tactic
+  let tactic := s!"exact 5"
+  let .success state4 ← state3.tacticOn (goalId := 0) tactic | addTest $ assertUnreachable tactic
+  let .some rootExpr := state4.rootExpr? | addTest $ assertUnreachable "Root expr"
+  addTest $ LSpec.check "root" ((toString $ ← Meta.ppExpr rootExpr) = "fun p x =>\n  let binder := x.fst;\n  binder 5")
+
+--set_option pp.all true
+--#check @PSigma (α := Prop) (β := λ (p: Prop) => p)
+--def test_define_root_expr : TestT Elab.TermElabM Unit := do
+
+def test_have_proof : TestT Elab.TermElabM Unit := do
+  let rootExpr ← parseSentence "∀ (p q: Prop), p → ((p ∨ q) ∨ (p ∨ q))"
+  let state0 ← GoalState.create rootExpr
+  let tactic := "intro p q h"
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← state1.serializeGoals).map (·.devolatilize) =
+    #[buildGoal [("p", "Prop"), ("q", "Prop"), ("h", "p")] "(p ∨ q) ∨ p ∨ q"])
+
+  let expr := "Or.inl (Or.inl h)"
+  let state2 ← match ← state1.tryAssign (state1.get! 0) (expr := expr) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!":= {expr}" ((← state2.serializeGoals).map (·.devolatilize) =
+    #[])
+
+  let haveBind := "y"
+  let haveType := "p ∨ q"
+  let state2 ← match ← state1.tryHave (state1.get! 0) (binderName := haveBind) (type := haveType) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!"have {haveBind}: {haveType}" ((← state2.serializeGoals).map (·.devolatilize) =
+    #[
+      buildGoal [("p", "Prop"), ("q", "Prop"), ("h", "p")] "p ∨ q",
+      buildGoal [("p", "Prop"), ("q", "Prop"), ("h", "p"), ("y", "p ∨ q")] "(p ∨ q) ∨ p ∨ q"
+    ])
+
+  let expr := "Or.inl h"
+  let state3 ← match ← state2.tryAssign (state2.get! 0) (expr := expr) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!":= {expr}" ((← state3.serializeGoals).map (·.devolatilize) =
+    #[])
+
+  let state2b ← match state3.continue state2 with
+    | .ok state => pure state
+    | .error e => do
+      addTest $ assertUnreachable e
+      return ()
+  let expr := "Or.inl y"
+  let state4 ← match ← state2b.tryAssign (state2b.get! 0) (expr := expr) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check s!":= {expr}" ((← state4.serializeGoals).map (·.devolatilize) =
+    #[])
+
+  let .some rootExpr := state4.rootExpr? | addTest $ assertUnreachable "Root expr"
+  addTest $ LSpec.check "root" ((toString $ ← Meta.ppExpr rootExpr) = "fun p q h y => Or.inl y")
+
+def test_let (specialized: Bool): TestT Elab.TermElabM Unit := do
+  let rootExpr ← parseSentence "∀ (p q: Prop), p → ((p ∨ q) ∨ (p ∨ q))"
+  let state0 ← GoalState.create rootExpr
+  let tactic := "intro a p h"
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← state1.serializeGoals).map (·.devolatilize) =
+    #[{
+      target := { pp? := .some mainTarget },
+      vars := interiorVars,
+    }])
+
+  let letType := "Nat"
+  let expr := s!"let b: {letType} := _; _"
+  let result2 ← match specialized with
+    | true => state1.tryLet (state1.get! 0) (binderName := "b") (type := letType)
+    | false => state1.tryAssign (state1.get! 0) (expr := expr)
+  let state2 ← match result2 with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  let serializedState2 ← state2.serializeGoals
+  let letBindName := if specialized then "b" else "_1"
+  addTest $ LSpec.check expr (serializedState2.map (·.devolatilize) =
+    #[{
+      target := { pp? := .some letType },
+      vars := interiorVars,
+      userName? := .some letBindName
+    },
+    {
+      target := { pp? := .some mainTarget },
+      vars := interiorVars ++ #[{
+        userName := "b",
+        type? := .some { pp? := .some letType },
+        value? := .some { pp? := .some s!"?{letBindName}" },
+      }],
+      userName? := if specialized then .none else .some "_2",
+    }
+    ])
+
+  let tactic := "exact 1"
+  let state3 ← match ← state2.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.check tactic ((← state3.serializeGoals).map (·.devolatilize) = #[])
+
+  let state3r ← match state3.continue state2 with
+    | .error msg => do
+      addTest $ assertUnreachable $ msg
+      return ()
+    | .ok state => pure state
+  addTest $ LSpec.check "(continue)" ((← state3r.serializeGoals).map (·.devolatilize) =
+    #[
+    {
+      target := { pp? := .some mainTarget },
+      vars := interiorVars ++ #[{
+        userName := "b",
+        type? := .some { pp? := .some "Nat" },
+        value? := .some { pp? := .some "1" },
+      }],
+      userName? := if specialized then .none else .some "_2",
+    }
+    ])
+
+  let tactic := "exact h"
+  match ← state3r.tacticOn (goalId := 0) (tactic := tactic) with
+  | .failure #[message] =>
+    addTest $ LSpec.check tactic  (message = s!"type mismatch\n  h\nhas type\n  a : Prop\nbut is expected to have type\n  {mainTarget} : Prop")
+  | other => do
+    addTest $ assertUnreachable $ other.toString
+
+  let tactic := "exact Or.inl (Or.inl h)"
+  let state4 ← match ← state3r.tacticOn (goalId := 0) (tactic := tactic) with
+    | .success state => pure state
+    | other => do
+      addTest $ assertUnreachable $ other.toString
+      return ()
+  addTest $ LSpec.test "(4 root)" state4.rootExpr?.isSome
+  where
+    mainTarget := "(a ∨ p) ∨ a ∨ p"
+    interiorVars: Array Protocol.Variable := #[
+        { userName := "a", type? := .some { pp? := .some "Prop" }, },
+        { userName := "p", type? := .some { pp? := .some "Prop" }, },
+        { userName := "h", type? := .some { pp? := .some "a" }, }
+      ]
+
+def suite (env: Environment): List (String × IO LSpec.TestSeq) :=
+  [
+    ("define", test_define),
+    ("define proof", test_define_proof),
+    ("define root expr", test_define_root_expr),
+    ("have proof", test_have_proof),
+    ("let via assign", test_let false),
+    ("let via tryLet", test_let true),
+  ] |>.map (λ (name, t) => (name, runTestTermElabM env t))
+
+end Pantograph.Test.Tactic.Prograde

flake.lock

@@ -36,111 +36,74 @@
     "lean": {
       "inputs": {
         "flake-utils": "flake-utils",
-        "lean4-mode": "lean4-mode",
-        "nix": "nix",
-        "nixpkgs": "nixpkgs_2",
+        "nixpkgs": "nixpkgs",
+        "nixpkgs-cadical": "nixpkgs-cadical",
         "nixpkgs-old": "nixpkgs-old"
       },
       "locked": {
-        "lastModified": 1711508550,
-        "narHash": "sha256-UK4DnYmwXLcqHA316Zkn0cnujdYlxqUf+b6S4l56Q3s=",
+        "lastModified": 1727749878,
+        "narHash": "sha256-O2Egyh2D0TfQWzQKfHUeAh7qAjMfeLVwXwGUw5QqcvE=",
         "owner": "leanprover",
         "repo": "lean4",
-        "rev": "b4caee80a3dfc5c9619d88b16c40cc3db90da4e2",
+        "rev": "dc2533473114eb8656439ff2b9335209784aa640",
         "type": "github"
       },
       "original": {
         "owner": "leanprover",
-        "ref": "b4caee80a3dfc5c9619d88b16c40cc3db90da4e2",
+        "ref": "v4.12.0",
         "repo": "lean4",
         "type": "github"
       }
     },
-    "lean4-mode": {
-      "flake": false,
-      "locked": {
-        "lastModified": 1676498134,
-        "narHash": "sha256-u3WvyKxOViZG53hkb8wd2/Og6muTecbh+NdflIgVeyk=",
-        "owner": "leanprover",
-        "repo": "lean4-mode",
-        "rev": "2c6ef33f476fdf5eb5e4fa4fa023ba8b11372440",
-        "type": "github"
-      },
-      "original": {
-        "owner": "leanprover",
-        "repo": "lean4-mode",
-        "type": "github"
-      }
-    },
-    "lowdown-src": {
-      "flake": false,
-      "locked": {
-        "lastModified": 1633514407,
-        "narHash": "sha256-Dw32tiMjdK9t3ETl5fzGrutQTzh2rufgZV4A/BbxuD4=",
-        "owner": "kristapsdz",
-        "repo": "lowdown",
-        "rev": "d2c2b44ff6c27b936ec27358a2653caaef8f73b8",
-        "type": "github"
-      },
-      "original": {
-        "owner": "kristapsdz",
-        "repo": "lowdown",
-        "type": "github"
-      }
-    },
     "lspec": {
       "flake": false,
       "locked": {
-        "lastModified": 1701971219,
-        "narHash": "sha256-HYDRzkT2UaLDrqKNWesh9C4LJNt0JpW0u68wYVj4Byw=",
-        "owner": "lurk-lab",
+        "lastModified": 1728279187,
+        "narHash": "sha256-ZMqbvCqR/gHXRuIkuo7b0Yp9N1vOQR7xnrcy/SeIBoQ=",
+        "owner": "argumentcomputer",
         "repo": "LSpec",
-        "rev": "3388be5a1d1390594a74ec469fd54a5d84ff6114",
+        "rev": "504a8cecf8da601b9466ac727aebb6b511aae4ab",
         "type": "github"
       },
       "original": {
-        "owner": "lurk-lab",
-        "ref": "3388be5a1d1390594a74ec469fd54a5d84ff6114",
+        "owner": "argumentcomputer",
+        "ref": "504a8cecf8da601b9466ac727aebb6b511aae4ab",
         "repo": "LSpec",
         "type": "github"
       }
     },
-    "nix": {
-      "inputs": {
-        "lowdown-src": "lowdown-src",
-        "nixpkgs": "nixpkgs",
-        "nixpkgs-regression": "nixpkgs-regression"
-      },
-      "locked": {
-        "lastModified": 1657097207,
-        "narHash": "sha256-SmeGmjWM3fEed3kQjqIAO8VpGmkC2sL1aPE7kKpK650=",
-        "owner": "NixOS",
-        "repo": "nix",
-        "rev": "f6316b49a0c37172bca87ede6ea8144d7d89832f",
-        "type": "github"
-      },
-      "original": {
-        "owner": "NixOS",
-        "repo": "nix",
-        "type": "github"
-      }
-    },
     "nixpkgs": {
       "locked": {
-        "lastModified": 1653988320,
-        "narHash": "sha256-ZaqFFsSDipZ6KVqriwM34T739+KLYJvNmCWzErjAg7c=",
+        "lastModified": 1686089707,
+        "narHash": "sha256-LTNlJcru2qJ0XhlhG9Acp5KyjB774Pza3tRH0pKIb3o=",
         "owner": "NixOS",
         "repo": "nixpkgs",
-        "rev": "2fa57ed190fd6c7c746319444f34b5917666e5c1",
+        "rev": "af21c31b2a1ec5d361ed8050edd0303c31306397",
         "type": "github"
       },
       "original": {
         "owner": "NixOS",
-        "ref": "nixos-22.05-small",
+        "ref": "nixpkgs-unstable",
         "repo": "nixpkgs",
         "type": "github"
       }
     },
+    "nixpkgs-cadical": {
+      "locked": {
+        "lastModified": 1722221733,
+        "narHash": "sha256-sga9SrrPb+pQJxG1ttJfMPheZvDOxApFfwXCFO0H9xw=",
+        "owner": "NixOS",
+        "repo": "nixpkgs",
+        "rev": "12bf09802d77264e441f48e25459c10c93eada2e",
+        "type": "github"
+      },
+      "original": {
+        "owner": "NixOS",
+        "repo": "nixpkgs",
+        "rev": "12bf09802d77264e441f48e25459c10c93eada2e",
+        "type": "github"
+      }
+    },
     "nixpkgs-lib": {
       "locked": {
         "dir": "lib",
@@ -176,39 +139,7 @@
         "type": "github"
       }
     },
-    "nixpkgs-regression": {
-      "locked": {
-        "lastModified": 1643052045,
-        "narHash": "sha256-uGJ0VXIhWKGXxkeNnq4TvV3CIOkUJ3PAoLZ3HMzNVMw=",
-        "owner": "NixOS",
-        "repo": "nixpkgs",
-        "rev": "215d4d0fd80ca5163643b03a33fde804a29cc1e2",
-        "type": "github"
-      },
-      "original": {
-        "owner": "NixOS",
-        "repo": "nixpkgs",
-        "rev": "215d4d0fd80ca5163643b03a33fde804a29cc1e2",
-        "type": "github"
-      }
-    },
     "nixpkgs_2": {
-      "locked": {
-        "lastModified": 1686089707,
-        "narHash": "sha256-LTNlJcru2qJ0XhlhG9Acp5KyjB774Pza3tRH0pKIb3o=",
-        "owner": "NixOS",
-        "repo": "nixpkgs",
-        "rev": "af21c31b2a1ec5d361ed8050edd0303c31306397",
-        "type": "github"
-      },
-      "original": {
-        "owner": "NixOS",
-        "ref": "nixpkgs-unstable",
-        "repo": "nixpkgs",
-        "type": "github"
-      }
-    },
-    "nixpkgs_3": {
       "locked": {
         "lastModified": 1711703276,
         "narHash": "sha256-iMUFArF0WCatKK6RzfUJknjem0H9m4KgorO/p3Dopkk=",
@@ -229,7 +160,7 @@
         "flake-parts": "flake-parts",
         "lean": "lean",
         "lspec": "lspec",
-        "nixpkgs": "nixpkgs_3"
+        "nixpkgs": "nixpkgs_2"
       }
     }
   },

flake.nix

@@ -5,11 +5,11 @@
     nixpkgs.url = "github:nixos/nixpkgs/nixos-unstable";
     flake-parts.url = "github:hercules-ci/flake-parts";
     lean = {
-      url = "github:leanprover/lean4?ref=b4caee80a3dfc5c9619d88b16c40cc3db90da4e2";
       # Do not follow input's nixpkgs since it could cause build failures
+      url = "github:leanprover/lean4?ref=v4.12.0";
     };
     lspec = {
-      url = "github:lurk-lab/LSpec?ref=3388be5a1d1390594a74ec469fd54a5d84ff6114";
+      url = "github:argumentcomputer/LSpec?ref=504a8cecf8da601b9466ac727aebb6b511aae4ab";
       flake = false;
     };
   };
@@ -29,7 +29,7 @@
       "x86_64-darwin"
     ];
     perSystem = { system, pkgs, ... }: let
-      leanPkgs = lean.packages.${system};
+      leanPkgs = lean.packages.${system}.deprecated;
       lspecLib = leanPkgs.buildLeanPackage {
         name = "LSpec";
         roots = [ "Main" "LSpec" ];
@@ -37,14 +37,25 @@
       };
       project = leanPkgs.buildLeanPackage {
         name = "Pantograph";
-        roots = [ "Main" "Pantograph" ];
-        src = pkgs.lib.cleanSourceWith {
+        roots = [ "Pantograph" ];
+        src = pkgs.lib.cleanSource (pkgs.lib.cleanSourceWith {
           src = ./.;
           filter = path: type:
             !(pkgs.lib.hasInfix "/Test/" path) &&
             !(pkgs.lib.hasSuffix ".md" path) &&
-            !(pkgs.lib.hasSuffix "Makefile" path);
+            !(pkgs.lib.hasSuffix "Repl.lean" path);
+        });
       };
+      repl = leanPkgs.buildLeanPackage {
+        name = "Repl";
+        roots = [ "Main" "Repl" ];
+        deps = [ project ];
+        src = pkgs.lib.cleanSource (pkgs.lib.cleanSourceWith {
+          src = ./.;
+          filter = path: type:
+            !(pkgs.lib.hasInfix "/Test/" path) &&
+            !(pkgs.lib.hasSuffix ".md" path);
+        });
       };
       test = leanPkgs.buildLeanPackage {
         name = "Test";
@@ -52,18 +63,22 @@
         # root begins (e.g. `import Test.Environment` and not `import
         # Environment`) and thats where `lakefile.lean` resides.
         roots = [ "Test.Main" ];
-        deps = [ lspecLib project ];
-        src = pkgs.lib.cleanSourceWith {
+        deps = [ lspecLib repl ];
+        src = pkgs.lib.cleanSource (pkgs.lib.cleanSourceWith {
           src = ./.;
           filter = path: type:
             !(pkgs.lib.hasInfix "Pantograph" path);
-        };
+        });
       };
     in rec {
       packages = {
         inherit (leanPkgs) lean lean-all;
-        inherit (project) sharedLib executable;
-        default = project.executable;
+        inherit (project) sharedLib;
+        inherit (repl) executable;
+        default = repl.executable;
+      };
+      legacyPackages = {
+        inherit project leanPkgs;
       };
       checks = {
         test = pkgs.runCommand "test" {

lake-manifest.json

@@ -1,13 +1,14 @@
-{"version": 7,
+{"version": "1.1.0",
  "packagesDir": ".lake/packages",
  "packages":
- [{"url": "https://github.com/lurk-lab/LSpec.git",
+ [{"url": "https://github.com/lenianiva/LSpec.git",
    "type": "git",
    "subDir": null,
-   "rev": "3388be5a1d1390594a74ec469fd54a5d84ff6114",
+   "scope": "",
+   "rev": "c492cecd0bc473e2f9c8b94d545d02cc0056034f",
    "name": "LSpec",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "3388be5a1d1390594a74ec469fd54a5d84ff6114",
+   "inputRev": "c492cecd0bc473e2f9c8b94d545d02cc0056034f",
    "inherited": false,
    "configFile": "lakefile.lean"}],
  "name": "pantograph",

lakefile.lean

@@ -4,22 +4,26 @@ open Lake DSL
 package pantograph
 
 lean_lib Pantograph {
+  roots := #[`Pantograph]
   defaultFacets := #[LeanLib.sharedFacet]
 }
 
+lean_lib Repl {
+}
 @[default_target]
-lean_exe pantograph {
+lean_exe repl {
   root := `Main
-  -- Somehow solves the native symbol not found problem
+  -- Solves the native symbol not found problem
   supportInterpreter := true
 }
 
 require LSpec from git
-  "https://github.com/lurk-lab/LSpec.git" @ "3388be5a1d1390594a74ec469fd54a5d84ff6114"
+  "https://github.com/lenianiva/LSpec.git" @ "c492cecd0bc473e2f9c8b94d545d02cc0056034f"
 lean_lib Test {
 }
+@[test_driver]
 lean_exe test {
   root := `Test.Main
-  -- Somehow solves the native symbol not found problem
+  -- Solves the native symbol not found problem
   supportInterpreter := true
 }

lean-toolchain

@@ -1 +1 @@
-leanprover/lean4:nightly-2024-03-27
+leanprover/lean4:v4.12.0