feat: Set `automaticMode` to true by default

Reviewed-on: #92

LICENSE

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+                    GNU GENERAL PUBLIC LICENSE
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+  IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
+THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
+GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
+USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
+DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
+EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGES.
+
+  17. Interpretation of Sections 15 and 16.
+
+  If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+                     END OF TERMS AND CONDITIONS
+
+            How to Apply These Terms to Your New Programs
+
+  If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+  To do so, attach the following notices to the program.  It is safest
+to attach them to the start of each source file to most effectively
+state the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+    <one line to give the program's name and a brief idea of what it does.>
+    Copyright (C) <year>  <name of author>
+
+    This program is free software: you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with this program.  If not, see <https://www.gnu.org/licenses/>.
+
+Also add information on how to contact you by electronic and paper mail.
+
+  If the program does terminal interaction, make it output a short
+notice like this when it starts in an interactive mode:
+
+    <program>  Copyright (C) <year>  <name of author>
+    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+    This is free software, and you are welcome to redistribute it
+    under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License.  Of course, your program's commands
+might be different; for a GUI interface, you would use an "about box".
+
+  You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU GPL, see
+<https://www.gnu.org/licenses/>.
+
+  The GNU General Public License does not permit incorporating your program
+into proprietary programs.  If your program is a subroutine library, you
+may consider it more useful to permit linking proprietary applications with
+the library.  If this is what you want to do, use the GNU Lesser General
+Public License instead of this License.  But first, please read
+<https://www.gnu.org/licenses/why-not-lgpl.html>.

Main.lean

@@ -4,6 +4,7 @@ import Lean.Environment
 import Pantograph.Version
 import Pantograph.Library
 import Pantograph
+import Repl
 
 -- Main IO functions
 open Pantograph

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

@@ -1,194 +1,8 @@
+import Pantograph.Compile
+import Pantograph.Condensed
+import Pantograph.Environment
 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 (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
-      }
-    }
-    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 => 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 := 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?, args.have?, args.calc?, args.conv?  with
-        | .some tactic, .none, .none, .none, .none => do
-          pure ( Except.ok (← goalTactic goalState args.goalId tactic))
-        | .none, .some expr, .none, .none, .none => do
-          pure ( Except.ok (← goalAssign goalState args.goalId expr))
-        | .none, .none, .some type, .none, .none => do
-          let binderName := args.binderName?.getD ""
-          pure ( Except.ok (← goalHave goalState args.goalId binderName type))
-        | .none, .none, .none, .some pred, .none => do
-          pure ( Except.ok (← goalCalc goalState args.goalId pred))
-        | .none, .none, .none, .none, .some true => do
-          pure ( Except.ok (← goalConv goalState args.goalId))
-        | .none, .none, .none, .none, .some false => do
-          pure ( Except.ok (← goalConvExit goalState))
-        | _, _, _, _, _ => pure (Except.error <|
-          errorI "arguments" "Exactly one of {tactic, expr, have, calc, conv} 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 (.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
-    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 $ goalContinue target 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/Compile.lean

@@ -0,0 +1,25 @@
+/- Adapted from lean-training-data by semorrison -/
+import Pantograph.Protocol
+import Pantograph.Compile.Frontend
+import Pantograph.Compile.Elab
+import Pantograph.Compile.Parse
+
+open Lean
+
+namespace Pantograph.Compile
+
+def collectTacticsFromCompilation (steps : List CompilationStep) : IO (List Protocol.InvokedTactic) := do
+  let infoTrees := steps.bind (·.trees)
+  let tacticInfoTrees := infoTrees.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 ← Lean.PrettyPrinter.ppTactic ⟨invocation.info.stx⟩
+      return t.pretty
+    return { goalBefore, goalAfter, tactic }
+
+end Pantograph.Compile

Pantograph/Compile/Elab.lean

@@ -0,0 +1,146 @@
+
+import Lean.Elab.Import
+import Lean.Elab.Command
+import Lean.Elab.InfoTree
+
+import Pantograph.Compile.Frontend
+
+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.Compile
+
+-- 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. -/
+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))
+
+end TacticInvocation
+
+/-- Analogue of `Lean.Elab.InfoTree.findInfo?`, but that returns a list of all results. -/
+partial def findAllInfo (t : Elab.InfoTree) (ctx : 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? ctx) pred
+  | .node i children  =>
+      (if pred i then [(i, ctx, children)] else []) ++ children.toList.bind (fun t => findAllInfo t ctx pred)
+  | _ => []
+
+/-- Return all `TacticInfo` nodes in an `InfoTree` corresponding to tactics,
+each equipped with its relevant `ContextInfo`, and any children info trees. -/
+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
+
+
+end Pantograph.Compile

Pantograph/Compile/Frontend.lean

@@ -0,0 +1,86 @@
+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`.
+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.Compile
+
+structure CompilationStep where
+  fileName : String
+  fileMap : FileMap
+  src : Substring
+  stx : Syntax
+  before : Environment
+  after : Environment
+  msgs : List Message
+  trees : List Elab.InfoTree
+
+
+/--
+Process one command, returning a `CompilationStep` and
+`done : Bool`, indicating whether this was the last command.
+-/
+def processOneCommand: Elab.Frontend.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 processFile : Elab.Frontend.FrontendM (List CompilationStep) := do
+  let (cmd, done) ← processOneCommand
+  if done then
+    return [cmd]
+  else
+    return cmd :: (← processFile)
+
+
+def findSourcePath (module : Name) : IO System.FilePath := do
+  return System.FilePath.mk ((← findOLean module).toString.replace ".lake/build/lib/" "") |>.withExtension "lean"
+
+def processSource (module : Name) (opts : Options := {}) : IO (List CompilationStep) := unsafe do
+  let file ← IO.FS.readFile (← findSourcePath module)
+  let inputCtx := Parser.mkInputContext file module.toString
+
+  let (header, parserState, messages) ← Parser.parseHeader inputCtx
+  let (env, messages) ← Elab.processHeader header opts messages inputCtx
+  let commandState := Elab.Command.mkState env messages opts
+  processFile.run { inputCtx }
+    |>.run' {
+    commandState := { commandState with infoState.enabled := true },
+    parserState,
+    cmdPos := parserState.pos
+  }
+
+
+end Pantograph.Compile

Pantograph/Compile/Parse.lean

@@ -0,0 +1,14 @@
+import Lean
+
+open Lean
+
+namespace Pantograph.Compile
+
+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>")
+
+end Pantograph.Compile

Pantograph/Condensed.lean

@@ -0,0 +1,96 @@
+/- structures for FFI based interface -/
+import Lean
+import Pantograph.Goal
+import Pantograph.Expr
+import Pantograph.Protocol
+
+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 +7,36 @@ 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
+  isLeanSymbol (name: Name): Bool := match name.getRoot with
     | .str _ name => name == "Lean"
     | _ => true
 
-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 info =>
+  match isNameInternal name || info.isUnsafe 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
+
+@[export pantograph_constant_info_is_unsafe_or_partial]
+def constantInfoIsUnsafeOrPartial (info: ConstantInfo): Bool := info.isUnsafe || info.isPartial
+
+@[export pantograph_constant_info_type]
+def constantInfoType (info: ConstantInfo): CoreM Expr := unfoldAuxLemmas info.type
+@[export pantograph_constant_info_value]
+def constantInfoValue (info: ConstantInfo): CoreM (Option Expr) := info.value?.mapM unfoldAuxLemmas
+
+def toCompactSymbolName (n: Name) (info: ConstantInfo): String :=
   let pref := match info with
   | .axiomInfo  _ => "a"
   | .defnInfo   _ => "d"
@@ -52,21 +73,22 @@ 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 := ← (serializeExpression options info.type).run',
+    type := ← (serializeExpression options type).run',
     isUnsafe := info.isUnsafe,
     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 => serializeName 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
-        pure $ e.getUsedConstants.filter (!isNameInternal ·) |>.map (λ n => serializeName n) )
-      else pure (.none),
     module? := module?
   }
   let result ← match info with
@@ -131,7 +153,7 @@ 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 +1,160 @@
+import Lean
+
+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
+
+      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!"Local context variable violation: {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: HashMap FVarId Expr := 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.find? 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/Goal.lean

@@ -4,13 +4,10 @@ Functions for handling metavariables
 All the functions starting with `try` resume their inner monadic state.
 -/
 import Pantograph.Protocol
+import Pantograph.Tactic
+import Pantograph.Compile.Parse
 import Lean
 
-def Lean.MessageLog.getErrorMessages (log : MessageLog) : MessageLog :=
-  {
-    msgs := log.msgs.filter fun m => match m.severity with | MessageSeverity.error => true | _ => false
-  }
-
 
 namespace Pantograph
 open Lean
@@ -25,78 +22,165 @@ structure GoalState where
 
   -- The root hole which is the search target
   root: MVarId
-  -- New metavariables acquired in this state
-  newMVars: SSet MVarId
 
   -- Parent state metavariable source
   parentMVar?: Option MVarId
 
   -- Existence of this field shows that we are currently in `conv` mode.
-  convMVar?: Option (MVarId × MVarId) := .none
+  -- (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 Expr := .none
+  calcPrevRhs?: Option (MVarId × Expr) := .none
 
+@[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 := root.mvarId!,
     savedState,
-    newMVars := SSet.insert .empty root,
     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
 protected def GoalState.restoreMetaM (state: GoalState): MetaM Unit :=
   state.savedState.term.meta.restore
-private def GoalState.restoreElabM (state: GoalState): Elab.TermElabM Unit :=
+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]
 
-private def newMVarSet (mctxOld: @&MetavarContext) (mctxNew: @&MetavarContext): SSet MVarId :=
-  mctxNew.decls.foldl (fun acc mvarId mvarDecl =>
-    if let .some prevMVarDecl := mctxOld.decls.find? mvarId then
-      assert! prevMVarDecl.type == mvarDecl.type
-      acc
-    else
-      acc.insert mvarId
-    ) SSet.empty
+@[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,
+  }
 
-/-- Inner function for executing tactic on goal state -/
-def executeTactic (state: Elab.Tactic.SavedState) (goal: MVarId) (tactic: Syntax) :
-    Elab.TermElabM (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 (·.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
+/-- 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 },
+    },
+  }
+
+/--
+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
+    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 =>
+      let mctx := state.mctx
+      ¬(mctx.eAssignment.contains goal || mctx.dAssignment.contains goal))
+    .ok {
+      state with
+      savedState := {
+        term := state.savedState.term,
+        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"
+  else if target.root != branch.root then
+    .error s!"Roots of two continued goal states do not match: {target.root.name} != {branch.root.name}"
+  else
+    target.resume (goals := branch.goals)
+
+@[export pantograph_goal_state_root_expr]
+protected def GoalState.rootExpr? (goalState: GoalState): Option Expr := do
+  let expr ← goalState.mctx.eAssignment.find? goalState.root
+  let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
+  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 expr := goalState.mctx.eAssignment.find! parent
+  let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
+  return expr
+@[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
@@ -106,19 +190,22 @@ inductive TacticResult where
   | failure (messages: Array String)
   -- Could not parse tactic
   | parseError (message: String)
-  -- The goal index is out of bounds
-  | indexError (goalId: Nat)
   -- The given action cannot be executed in the state
   | invalidAction (message: String)
 
-/-- Execute tactic on given state -/
-protected def GoalState.tryTactic (state: GoalState) (goalId: Nat) (tactic: 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 goal ← match state.savedState.tactic.goals.get? goalId with
-    | .some goal => pure $ goal
-    | .none => return .indexError goalId
-  goal.checkNotAssigned `GoalState.tryTactic
   let tactic ← match Parser.runParserCategory
     (env := ← MonadEnv.getEnv)
     (catName := if state.isConv then `conv else `tactic)
@@ -126,213 +213,68 @@ protected def GoalState.tryTactic (state: GoalState) (goalId: Nat) (tactic: Stri
     (fileName := filename) 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.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.
-    return .success {
-      state with
-      savedState := nextSavedState
-      newMVars := newMVarSet prevMCtx nextMCtx,
-      parentMVar? := .some goal,
-      calcPrevRhs? := .none,
-    }
+  state.tryTacticM goal $ Elab.Tactic.evalTactic tactic
 
-/-- Assumes elabM has already been restored. Assumes expr has already typechecked -/
-protected def GoalState.assign (state: GoalState) (goal: MVarId) (expr: Expr):
-      Elab.TermElabM TacticResult := do
-  let goalType ← goal.getType
-  try
-    -- For some reason this is needed. One of the unit tests will fail if this isn't here
-    let error?: Option String ← goal.withContext do
-      let exprType ← Meta.inferType expr
-      if ← Meta.isDefEq goalType exprType then
-        pure .none
-      else do
-        return .some s!"{← Meta.ppExpr expr} : {← Meta.ppExpr exprType} != {← Meta.ppExpr goalType}"
-    if let .some error := error? then
-      return .parseError error
-    goal.checkNotAssigned `GoalState.assign
-    goal.assign expr
-    if (← getThe Core.State).messages.hasErrors then
-      let messages := (← getThe Core.State).messages.getErrorMessages |>.toList.toArray
-      let errors ← (messages.map (·.data)).mapM fun md => md.toString
-      return .failure errors
-    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 := newMVarSet prevMCtx nextMCtx
-    let nextGoals ← newMVars.toList.filterM (λ mvar => do pure !(← mvar.isAssigned))
-    return .success {
-      root := state.root,
-      savedState := {
-        term := ← MonadBacktrack.saveState,
-        tactic := { goals := nextGoals }
-      },
-      newMVars,
-      parentMVar? := .some goal,
-      calcPrevRhs? := .none
-    }
-  catch exception =>
-    return .failure #[← exception.toMessageData.toString]
-
-protected def GoalState.tryAssign (state: GoalState) (goalId: Nat) (expr: String):
+protected def GoalState.tryAssign (state: GoalState) (goal: MVarId) (expr: String):
       Elab.TermElabM 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)
+    (env := ← MonadEnv.getEnv)
     (catName := `term)
     (input := expr)
     (fileName := filename) with
     | .ok syn => pure syn
     | .error error => return .parseError error
-  let goalType ← goal.getType
-  try
-    let expr ← goal.withContext $
-      Elab.Term.elabTermAndSynthesize (stx := expr) (expectedType? := .some goalType)
-    state.assign goal expr
-  catch exception =>
-    return .failure #[← exception.toMessageData.toString]
+  state.tryTacticM goal $ Tactic.evalAssign expr
 
 -- Specialized Tactics
 
-protected def GoalState.tryHave (state: GoalState) (goalId: Nat) (binderName: String) (type: String):
+protected def GoalState.tryLet (state: GoalState) (goal: MVarId) (binderName: String) (type: String):
       Elab.TermElabM TacticResult := do
   state.restoreElabM
-  let goal ← match state.savedState.tactic.goals.get? goalId with
-    | .some goal => pure goal
-    | .none => return .indexError goalId
   let type ← match Parser.runParserCategory
-    (env := state.env)
+    (env := ← MonadEnv.getEnv)
     (catName := `term)
     (input := type)
     (fileName := filename) with
     | .ok syn => pure syn
     | .error error => return .parseError error
-  let binderName := binderName.toName
-  try
-    -- Implemented similarly to the intro tactic
-    let nextGoals: List MVarId ← goal.withContext do
-      let type ← Elab.Term.elabType (stx := type)
-      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 fvar   := mkFVar fvarId
-      let mvarUpstream ←
-        withTheReader Meta.Context (fun ctx => { ctx with lctx := lctxUpstream }) do
-          Meta.withNewLocalInstances #[fvar] 0 do
-            let mvarUpstream ← Meta.mkFreshExprMVarAt (← getLCtx) (← Meta.getLocalInstances)
-              (← goal.getType) (kind := MetavarKind.synthetic) (userName := .anonymous)
-            let expr: Expr := .app (.lam binderName type mvarBranch .default) mvarUpstream
-            goal.assign expr
-            pure mvarUpstream
-
-      pure [mvarBranch.mvarId!, mvarUpstream.mvarId!]
-    return .success {
-      root := state.root,
-      savedState := {
-        term := ← MonadBacktrack.saveState,
-        tactic := { goals := nextGoals }
-      },
-      newMVars := nextGoals.toSSet,
-      parentMVar? := .some goal,
-      calcPrevRhs? := .none
-    }
-  catch exception =>
-    return .failure #[← exception.toMessageData.toString]
-protected def GoalState.tryLet (state: GoalState) (goalId: Nat) (binderName: String) (type: String):
-      Elab.TermElabM TacticResult := do
-  state.restoreElabM
-  let goal ← match state.savedState.tactic.goals.get? goalId with
-    | .some goal => pure goal
-    | .none => return .indexError goalId
-  let type ← match Parser.runParserCategory
-    (env := state.env)
-    (catName := `term)
-    (input := type)
-    (fileName := filename) with
-    | .ok syn => pure syn
-    | .error error => return .parseError error
-  let binderName := binderName.toName
-  try
-    -- Implemented similarly to the intro tactic
-    let nextGoals: List MVarId ← goal.withContext do
-      let type ← Elab.Term.elabType (stx := type)
-      let lctx ← MonadLCtx.getLCtx
-
-      -- The branch goal inherits the same context, but with a different type
-      let mvarBranch ← Meta.mkFreshExprMVarAt lctx (← Meta.getLocalInstances) type
-
-      let upstreamType := .letE binderName type mvarBranch (← goal.getType) false
-      let mvarUpstream ← Meta.mkFreshExprMVarAt (← getLCtx) (← Meta.getLocalInstances)
-        upstreamType (kind := MetavarKind.synthetic) (userName := (← goal.getTag))
-
-      goal.assign mvarUpstream
-
-      pure [mvarBranch.mvarId!, mvarUpstream.mvarId!]
-    return .success {
-      root := state.root,
-      savedState := {
-        term := ← MonadBacktrack.saveState,
-        tactic := { goals := nextGoals }
-      },
-      newMVars := nextGoals.toSSet,
-      parentMVar? := .some goal,
-      calcPrevRhs? := .none
-    }
-  catch exception =>
-    return .failure #[← exception.toMessageData.toString]
+  state.tryTacticM goal $ Tactic.evalLet binderName.toName type
 
 /-- Enter conv tactic mode -/
-protected def GoalState.conv (state: GoalState) (goalId: Nat):
+protected def GoalState.conv (state: GoalState) (goal: MVarId):
       Elab.TermElabM TacticResult := do
   if state.convMVar?.isSome then
     return .invalidAction "Already in conv state"
-  let goal ← match state.savedState.tactic.goals.get? goalId with
-    | .some goal => pure goal
-    | .none => return .indexError goalId
+  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.setGoals [newGoal.mvarId!]
+      Elab.Tactic.replaceMainGoal [newGoal.mvarId!]
       pure rhs.mvarId!
     return (← MonadBacktrack.saveState, convMVar)
   try
     let (nextSavedState, convRhs) ← tacticM { elaborator := .anonymous } |>.run' state.savedState.tactic
-    let prevMCtx := state.mctx
-    let nextMCtx := nextSavedState.term.meta.meta.mctx
+    -- Other goals are now dormant
+    let otherGoals := state.goals.filter $ λ g => g != goal
     return .success {
       root := state.root,
       savedState := nextSavedState
-      newMVars := newMVarSet prevMCtx nextMCtx,
       parentMVar? := .some goal,
-      convMVar? := .some (convRhs, 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
+  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
@@ -355,12 +297,9 @@ protected def GoalState.convExit (state: GoalState):
     MonadBacktrack.saveState
   try
     let nextSavedState ← tacticM { elaborator := .anonymous } |>.run' state.savedState.tactic
-    let nextMCtx := nextSavedState.term.meta.meta.mctx
-    let prevMCtx := state.savedState.term.meta.meta.mctx
     return .success {
       root := state.root,
       savedState := nextSavedState
-      newMVars := newMVarSet prevMCtx nextMCtx,
       parentMVar? := .some convGoal,
       convMVar? := .none
       calcPrevRhs? := .none
@@ -368,19 +307,18 @@ protected def GoalState.convExit (state: GoalState):
   catch exception =>
     return .failure #[← exception.toMessageData.toString]
 
-protected def GoalState.calcPrevRhsOf? (state: GoalState) (goalId: Nat) :=
-  if goalId == 1 then
-    state.calcPrevRhs?
+protected def GoalState.calcPrevRhsOf? (state: GoalState) (goal: MVarId): Option Expr := do
+  let (mvarId, rhs) ← state.calcPrevRhs?
+  if mvarId == goal then
+    .some rhs
   else
     .none
-protected def GoalState.tryCalc (state: GoalState) (goalId: Nat) (pred: String):
+@[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 goal ← match state.savedState.tactic.goals.get? goalId with
-    | .some goal => pure goal
-    | .none => return .indexError goalId
   let `(term|$pred) ← match Parser.runParserCategory
     (env := state.env)
     (catName := `term)
@@ -388,9 +326,11 @@ protected def GoalState.tryCalc (state: GoalState) (goalId: Nat) (pred: String):
     (fileName := filename) with
     | .ok syn => pure syn
     | .error error => return .parseError error
-  let calcPrevRhs? := state.calcPrevRhsOf? goalId
-  let target ← instantiateMVars (← goal.getDecl).type
-  let tag := (← goal.getDecl).userName
+  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
 
@@ -414,9 +354,8 @@ protected def GoalState.tryCalc (state: GoalState) (goalId: Nat) (pred: String):
       (userName := tag ++ `calc)
     let mvarBranch := proof.mvarId!
 
-    let calcPrevRhs? := Option.some rhs
     let mut proofType ← Meta.inferType proof
-    let mut remainder := Option.none
+    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
@@ -429,17 +368,17 @@ protected def GoalState.tryCalc (state: GoalState) (goalId: Nat) (pred: String):
       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!
+      remainder? := .some lastStepGoal.mvarId!
     goal.assign proof
 
-    let goals := [ mvarBranch ] ++ remainder.toList
+    let goals := [ mvarBranch ] ++ remainder?.toList
+    let calcPrevRhs? := remainder?.map $ λ g => (g, rhs)
     return .success {
       root := state.root,
       savedState := {
         term := ← MonadBacktrack.saveState,
         tactic := { goals },
       },
-      newMVars := goals.toSSet,
       parentMVar? := .some goal,
       calcPrevRhs?
     }
@@ -447,66 +386,19 @@ protected def GoalState.tryCalc (state: GoalState) (goalId: Nat) (pred: String):
     return .failure #[← exception.toMessageData.toString]
 
 
-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,
-  }
-
-/--
-Brings into scope a list of goals
--/
-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"
-  else
-    -- Set goals to the goals that have not been assigned yet, similar to the `focus` tactic.
-    let unassigned := goals.filter (λ goal =>
-      let mctx := state.mctx
-      ¬(mctx.eAssignment.contains goal || mctx.dAssignment.contains goal))
-    .ok {
-      state with
-      savedState := {
-        term := state.savedState.term,
-        tactic := { goals := unassigned },
-      },
-      calcPrevRhs? := .none,
-    }
-/--
-Brings into scope all goals from `branch`
--/
-protected def GoalState.continue (target: GoalState) (branch: GoalState): Except String GoalState :=
-  if !target.goals.isEmpty then
-    .error s!"Target state has unresolved goals"
-  else if target.root != branch.root then
-    .error s!"Roots of two continued goal states do not match: {target.root.name} != {branch.root.name}"
-  else
-    target.resume (goals := branch.goals)
-
-protected def GoalState.rootExpr? (goalState: GoalState): Option Expr := do
-  let expr ← goalState.mctx.eAssignment.find? goalState.root
-  let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
-  if expr.hasMVar 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
-protected def GoalState.parentExpr? (goalState: GoalState): Option Expr := do
-  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
-  let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
-  return expr
-
+protected def GoalState.tryMotivatedApply (state: GoalState) (goal: MVarId) (recursor: String):
+      Elab.TermElabM TacticResult := do
+  state.restoreElabM
+  let recursor ← match (← Compile.parseTermM recursor) with
+    | .ok syn => pure syn
+    | .error error => return .parseError error
+  state.tryTacticM goal (tacticM := Tactic.evalMotivatedApply recursor)
+protected def GoalState.tryNoConfuse (state: GoalState) (goal: MVarId) (eq: String):
+      Elab.TermElabM TacticResult := do
+  state.restoreElabM
+  let eq ← match (← Compile.parseTermM eq) with
+    | .ok syn => pure syn
+    | .error error => return .parseError error
+  state.tryTacticM goal (tacticM := Tactic.evalNoConfuse eq)
 
 end Pantograph

Pantograph/Library.lean

@@ -1,3 +1,4 @@
+import Pantograph.Condensed
 import Pantograph.Environment
 import Pantograph.Goal
 import Pantograph.Protocol
@@ -38,13 +39,10 @@ open Lean
 
 namespace Pantograph
 
-def defaultTermElabMContext: Elab.Term.Context := {
-    errToSorry := false
-  }
 def runMetaM { α } (metaM: MetaM α): CoreM α :=
   metaM.run'
 def runTermElabM { α } (termElabM: Elab.TermElabM α): CoreM α :=
-  termElabM.run' (ctx := defaultTermElabMContext) |>.run'
+  termElabM.run' (ctx := Condensed.elabContext) |>.run'
 
 def errorI (type desc: String): Protocol.InteractionError := { error := type, desc := desc }
 
@@ -78,22 +76,12 @@ def createCoreState (imports: Array String): IO Core.State := do
     (trustLevel := 1)
   return { env := env }
 
-@[export pantograph_env_catalog_m]
-def envCatalog: CoreM Protocol.EnvCatalogResult :=
-  Environment.catalog ({}: Protocol.EnvCatalog)
-
-@[export pantograph_env_inspect_m]
-def envInspect (name: String) (value: Bool) (dependency: Bool) (options: @&Protocol.Options):
-    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):
     CoreM (Protocol.CR Protocol.EnvAddResult) :=
   Environment.addDecl { name, type, value, isTheorem }
 
+@[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
@@ -104,6 +92,7 @@ def parseElabType (type: String): Elab.TermElabM (Protocol.CR Expr) := do
   | .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
@@ -141,45 +130,10 @@ def goalStartExpr (expr: String) (levels: Array String): CoreM (Protocol.CR Goal
       | .ok expr => pure $ expr
     return .ok $ ← GoalState.create expr
 
-@[export pantograph_goal_tactic_m]
-def goalTactic (state: GoalState) (goalId: Nat) (tactic: String): CoreM TacticResult :=
-  runTermElabM <| state.tryTactic goalId tactic
-
-@[export pantograph_goal_assign_m]
-def goalAssign (state: GoalState) (goalId: Nat) (expr: String): CoreM TacticResult :=
-  runTermElabM <| state.tryAssign goalId expr
-
-@[export pantograph_goal_have_m]
-def goalHave (state: GoalState) (goalId: Nat) (binderName: String) (type: String): CoreM TacticResult :=
-  runTermElabM <| state.tryHave goalId binderName type
-@[export pantograph_goal_let_m]
-def goalLet (state: GoalState) (goalId: Nat) (binderName: String) (type: String): CoreM TacticResult :=
-  runTermElabM <| state.tryLet goalId binderName type
-
-@[export pantograph_goal_conv_m]
-def goalConv (state: GoalState) (goalId: Nat): CoreM TacticResult :=
-  runTermElabM <| state.conv goalId
-
-@[export pantograph_goal_conv_exit_m]
-def goalConvExit (state: GoalState): CoreM TacticResult :=
-  runTermElabM <| state.convExit
-
-@[export pantograph_goal_calc_m]
-def goalCalc (state: GoalState) (goalId: Nat) (pred: String): CoreM TacticResult :=
-  runTermElabM <| state.tryCalc goalId pred
-
-@[export pantograph_goal_focus]
-def goalFocus (state: GoalState) (goalId: Nat): Option GoalState :=
-  state.focus goalId
-
 @[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_continue]
-def goalContinue (target: GoalState) (branch: GoalState): Except String GoalState :=
-  target.continue branch
-
 @[export pantograph_goal_serialize_m]
 def goalSerialize (state: GoalState) (options: @&Protocol.Options): CoreM (Array Protocol.Goal) :=
   runMetaM <| state.serializeGoals (parent := .none) options
@@ -189,11 +143,47 @@ def goalPrint (state: GoalState) (options: @&Protocol.Options): CoreM Protocol.G
   runMetaM do
     state.restoreMetaM
     return {
-      root? := ← state.rootExpr?.mapM (λ expr => do
-        serializeExpression options (← unfoldAuxLemmas expr)),
-      parent? := ← state.parentExpr?.mapM (λ expr => do
-        serializeExpression 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)),
     }
 
+@[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 (← Compile.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 (← Compile.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_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

@@ -27,6 +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
@@ -51,7 +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
@@ -190,12 +192,12 @@ structure OptionsSet where
   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.
@@ -278,6 +280,26 @@ structure GoalDiag where
   -- Print all mvars
   printAll: Bool := false
   instantiate: Bool := true
+  printSexp: Bool := false
+
+
+/-- Executes the Lean compiler on a single file -/
+structure CompileUnit where
+  module: String
+  -- If set to true, query the string boundaries of compilation units
+  compilationUnits: Bool := false
+  -- If set to true, collect tactic invocations
+  invocations: Bool := false
+  deriving Lean.FromJson
+structure InvokedTactic where
+  goalBefore: String
+  goalAfter: String
+  tactic: String
+  deriving Lean.ToJson
+structure CompileUnitResult where
+  units?: Option $ List (Nat × Nat)
+  invocations?: Option $ List InvokedTactic
+  deriving Lean.ToJson
 
 abbrev CR α := Except InteractionError α
 

Pantograph/Serial.lean

@@ -4,21 +4,17 @@ 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 : Expr) : CoreM Expr := do
-  Lean.Meta.deltaExpand e Lean.Name.isAuxLemma
 
 --- Input Functions ---
 
@@ -86,6 +82,7 @@ partial def serializeSortLevel (level: Level) (sanitize: Bool): String :=
   | _, .zero => s!"{k}"
   | _, _ => s!"(+ {u_str} {k})"
 
+
 /--
  Completely serializes an expression tree. Json not used due to compactness
 
@@ -94,7 +91,28 @@ A `_` symbol in the AST indicates automatic deductions not present in the origin
 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.
@@ -104,9 +122,10 @@ partial def serializeExpressionSexp (expr: Expr) (sanitize: Bool := true): MetaM
     | .fvar fvarId =>
       let name := ofName fvarId.name
       pure s!"(:fv {name})"
-    | .mvar mvarId =>
-      let name := ofName 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 := serializeSortLevel level sanitize
       pure s!"(:sort {level})"
@@ -149,15 +168,12 @@ partial def serializeExpressionSexp (expr: Expr) (sanitize: Bool := true): MetaM
       -- 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 ctor := getStructureCtor env typeName
-      let fieldName := getStructureFields env typeName |>.get! idx
-      let projectorName := getProjFnForField? env typeName fieldName |>.get!
-
-      let autos := String.intercalate " " (List.replicate ctor.numParams "_")
-      let inner ← self inner
-      pure s!"((:c {projectorName}) {autos} {inner})"
+      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
   binderInfoSexp : Lean.BinderInfo → String
     | .default => ""
@@ -182,8 +198,9 @@ def serializeExpression (options: @&Protocol.Options) (e: Expr): MetaM Protocol.
     dependentMVars?,
   }
 
+
 /-- Adapted from ppGoal -/
-def serializeGoal (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
@@ -195,39 +212,40 @@ def serializeGoal (options: @&Protocol.Options) (goal: MVarId) (mvarDecl: Metava
     let ppVarNameOnly (localDecl: LocalDecl): MetaM Protocol.Variable := do
       match localDecl with
       | .cdecl _ fvarId userName _ _ _ =>
-        let userName := userName.simpMacroScopes
         return {
           name := ofName fvarId.name,
           userName:= ofName userName.simpMacroScopes,
+          isInaccessible := userName.isInaccessibleUserName
         }
       | .ldecl _ fvarId userName _ _ _ _ => do
         return {
           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 := ofName fvarId.name,
           userName:= ofName userName,
-          isInaccessible? := .some userName.isInaccessibleUserName
+          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
+          let val ← instantiate val
           pure $ .some (← serializeExpression options val)
         else
           pure $ .none
         return {
           name := ofName fvarId.name,
           userName:= ofName userName,
-          isInaccessible? := .some userName.isInaccessibleUserName
+          isInaccessible := userName.isInaccessibleUserName
           type? := .some (← serializeExpression options type)
           value? := value?
         }
@@ -247,10 +265,11 @@ def serializeGoal (options: @&Protocol.Options) (goal: MVarId) (mvarDecl: Metava
       name := ofName goal.name,
       userName? := if mvarDecl.userName == .anonymous then .none else .some (ofName mvarDecl.userName),
       isConversion := isLHSGoal? mvarDecl.type |>.isSome,
-      target := (← serializeExpression options (← instantiateMVars mvarDecl.type)),
+      target := (← serializeExpression options (← instantiate mvarDecl.type)),
       vars := vars.reverse.toArray
     }
   where
+  instantiate := instantiateAll
   ofName (n: Name) := serializeName n (sanitize := false)
 
 protected def GoalState.serializeGoals
@@ -269,53 +288,68 @@ protected def GoalState.serializeGoals
     | .none => throwError s!"Metavariable does not exist in context {goal.name}"
 
 /-- Print the metavariables in a readable format -/
-protected def GoalState.diag (goalState: GoalState) (options: Protocol.GoalDiag := {}): MetaM Unit := 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
-  | .some decl => printMVar ">" root decl
-  | .none => IO.println s!">{root.name}: ??"
-  goals.forM (fun mvarId => do
-    if mvarId != root then
+@[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
+    let result: String ← match mctx.decls.find? root with
+      | .some decl => printMVar ">" root decl
+      | .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}: ??"
-  )
-  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 " "
-      printMVar pref mvarId decl
-    else
-      pure ()
-      --IO.println s!" {mvarId.name}{userNameToString decl.userName}"
-  )
+      | .none => pure s!"⊢{mvarId.name}: ??"
+    )
+    let goals := goals.toSSet
+    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
+        )
+    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
-      if options.printContext then
-        decl.lctx.fvarIdToDecl.forM printFVar
+    printMVar (pref: String) (mvarId: MVarId) (decl: MetavarDecl): MetaM String := mvarId.withContext do
+      let resultFVars: List String ←
+        if options.printContext then
+          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 ← serializeExpressionSexp type (sanitize := false)
-      IO.println s!"{pref}{mvarId.name}{userNameToString decl.userName}: {← Meta.ppExpr decl.type} {type_sexp}"
-      if options.printValue then
-        if let Option.some value := (← getMCtx).eAssignment.find? mvarId then
-          let value ← if options.instantiate
-            then instantiateMVars 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}"
+      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 .some value ← getExprMVarAssignment? mvarId then
+            let value ← if options.instantiate
+              then instantiateAll value
+              else pure $ value
+            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.mkFreshExprMVar (.some $ mkSort u)
+    .natural (userName := userName ++ `α)
+  let f ← Meta.mkFreshExprMVar (.some <| .forallE .anonymous α β .default)
+    .synthetic (userName := userName ++ `f)
+  let a₁ ← Meta.mkFreshExprMVar (.some α)
+    .synthetic (userName := userName ++ `a₁)
+  let a₂ ← Meta.mkFreshExprMVar (.some α)
+    .synthetic (userName := userName ++ `a₂)
+  let h ← Meta.mkFreshExprMVar (.some $ ← Meta.mkEq a₁ a₂)
+    .synthetic (userName := userName ++ `h)
+  let conduitType ← Meta.mkEq (← Meta.mkEq (.app f a₁) (.app f a₂)) target
+  let conduit ← Meta.mkFreshExprMVar conduitType
+    .synthetic (userName := 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.mkFreshExprMVar (.some $ mkSort u)
+    .natural (userName := userName ++ `α)
+  let fType := .forallE .anonymous α β .default
+  let f₁ ← Meta.mkFreshExprMVar (.some fType)
+    .synthetic (userName := userName ++ `f₁)
+  let f₂ ← Meta.mkFreshExprMVar (.some fType)
+    .synthetic (userName := userName ++ `f₂)
+  let a ← Meta.mkFreshExprMVar (.some α)
+    .synthetic (userName := userName ++ `a)
+  let h ← Meta.mkFreshExprMVar (.some $ ← Meta.mkEq f₁ f₂)
+    .synthetic (userName := userName ++ `h)
+  let conduitType ← Meta.mkEq (← Meta.mkEq (.app f₁ a) (.app f₂ a)) target
+  let conduit ← Meta.mkFreshExprMVar conduitType
+    .synthetic (userName := 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.mkFreshExprMVar (.some $ mkSort u)
+    .natural (userName := userName ++ `α)
+  let fType := .forallE .anonymous α β .default
+  let f₁ ← Meta.mkFreshExprMVar (.some fType)
+    .synthetic (userName := userName ++ `f₁)
+  let f₂ ← Meta.mkFreshExprMVar (.some fType)
+    .synthetic (userName := userName ++ `f₂)
+  let a₁ ← Meta.mkFreshExprMVar (.some α)
+    .synthetic (userName := userName ++ `a₁)
+  let a₂ ← Meta.mkFreshExprMVar (.some α)
+    .synthetic (userName := userName ++ `a₂)
+  let h₁ ← Meta.mkFreshExprMVar (.some $ ← Meta.mkEq f₁ f₂)
+    .synthetic (userName := userName ++ `h₁)
+  let h₂ ← Meta.mkFreshExprMVar (.some $ ← Meta.mkEq a₁ a₂)
+    .synthetic (userName := userName ++ `h₂)
+  let conduitType ← Meta.mkEq (← Meta.mkEq (.app f₁ a₁) (.app f₂ a₂)) target
+  let conduit ← Meta.mkFreshExprMVar conduitType
+    .synthetic (userName := 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 +1,105 @@
+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 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.mkFreshExprMVar surrogateMotiveType .syntheticOpaque (userName := `motive)
+        else
+          Meta.mkFreshExprMVar argType .syntheticOpaque (userName := .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.mkFreshExprMVar conduitType .natural (userName := `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 := "0.2.15"
+def version := "0.2.18"
 
 end Pantograph

README.md

@@ -11,9 +11,9 @@ examine the symbol list of a Lean project for machine learning.
 
 For Nix based workflow, see below.
 
-Install `elan` and `lake`. Execute
+Install `elan` and `lake`, and run
 ``` sh
-make
+lake build
 ```
 This builds the executable in `.lake/build/bin/pantograph`.
 
@@ -90,6 +90,11 @@ See `Pantograph/Protocol.lean` for a description of the parameters and return va
   only the values of definitions are printed.
 * `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`
+
+  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
@@ -138,6 +143,9 @@ 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.
 
+Note that there isn't a 1-1 correspondence between executable (REPL) commands
+and library functions.
+
 ## Developing
 
 A Lean development shell is provided in the Nix flake.
@@ -146,7 +154,12 @@ A Lean development shell is provided in the Nix flake.
 
 The tests are based on `LSpec`. To run tests,
 ``` sh
-make test
+lake test
+```
+You can run an individual test by specifying a prefix
+
+``` sh
+lake test -- "Tactic/No Confuse"
 ```
 
 ## Nix based workflow

Repl.lean

@@ -0,0 +1,220 @@
+import Lean.Data.HashMap
+import Pantograph
+
+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 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
+  | "compile.unit"  => run compile_unit
+  | 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 (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 state ← get
+    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 := 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
+    let .some goalState := state.goalStates.find? 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.calc?, args.conv?  with
+      | .some tactic, .none, .none, .none, .none => do
+        pure <| Except.ok <| ← goalState.tryTactic goal tactic
+      | .none, .some expr, .none, .none, .none => do
+        pure <| Except.ok <| ← goalState.tryAssign goal expr
+      | .none, .none, .some type, .none, .none => do
+        let binderName := args.binderName?.getD ""
+        pure <| Except.ok <| ← goalState.tryHave goal binderName type
+      | .none, .none, .none, .some pred, .none => do
+        pure <| Except.ok <| ← goalState.tryCalc goal pred
+      | .none, .none, .none, .none, .some true => do
+        pure <| Except.ok <| ← goalState.conv goal
+      | .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 := 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 (.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.find? 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.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
+    let .some goalState := state.goalStates.find? args.stateId | return .error $ errorIndex s!"Invalid state index {args.stateId}"
+    let result ← runMetaInMainM <| goalPrint goalState state.options
+    return .ok result
+  compile_unit (args: Protocol.CompileUnit): MainM (CR Protocol.CompileUnitResult) := do
+    let module := args.module.toName
+    try
+      let steps ← Compile.processSource module
+      let units? := if args.compilationUnits then
+          .some $ steps.map λ step => (step.src.startPos.byteIdx, step.src.stopPos.byteIdx)
+        else
+          .none
+      let invocations? ← if args.invocations then
+          pure $ .some (← Compile.collectTacticsFromCompilation steps)
+        else
+          pure .none
+      return .ok { units?, invocations? }
+    catch e =>
+      return .error $ errorI "compile" (← e.toMessageData.toString)
+
+end Pantograph

Test/Common.lean

@@ -1,6 +1,7 @@
 import Pantograph.Goal
 import Pantograph.Library
 import Pantograph.Protocol
+import Pantograph.Condensed
 import Lean
 import LSpec
 
@@ -8,20 +9,33 @@ 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
@@ -30,13 +44,33 @@ 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
@@ -56,7 +90,65 @@ def runCoreMSeq (env: Environment) (coreM: CoreM LSpec.TestSeq) (options: Array
 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 := Pantograph.defaultTermElabMContext)
+  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 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
 

Test/Integration.lean

@@ -2,39 +2,24 @@
  -/
 import LSpec
 import Pantograph
+import Repl
+import Test.Common
+
 namespace Pantograph.Test.Integration
 open Pantograph
 
-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 ← 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_elab : IO LSpec.TestSeq :=
-  subroutine_runner [
-    subroutine_step "expr.echo"
+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" },
@@ -42,130 +27,163 @@ def test_elab : IO LSpec.TestSeq :=
      }: Protocol.ExprEchoResult)),
   ]
 
-def test_option_modify : IO LSpec.TestSeq :=
+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.11",
     target := { pp? := .some "∀ (q : Prop), x ∨ q → q ∨ x" },
-    vars := #[{ name := "_uniq.10", 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.14",
+    name := "_uniq.17",
     target := { pp? := .some "x ∨ y → y ∨ x" },
     vars := #[
-      { name := "_uniq.10", userName := "x", isInaccessible? := .some false, type? := .some { pp? := .some "Prop" }},
-      { name := "_uniq.13", 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.9"}:
-      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.12 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_add_inspect : 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: List (String × IO LSpec.TestSeq) :=
-  [
-    ("Elab", test_elab),
-    ("Option modify", test_option_modify),
+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),
   ]
+  tests.map (fun (name, test) => (name, runTest env test))
 
 
 end Pantograph.Test.Integration

Test/Main.lean

@@ -5,6 +5,7 @@ import Test.Library
 import Test.Metavar
 import Test.Proofs
 import Test.Serial
+import Test.Tactic
 
 -- Test running infrastructure
 
@@ -43,11 +44,15 @@ def main (args: List String) := do
 
   let suites: List (String × List (String × IO LSpec.TestSeq)) := [
     ("Environment", Environment.suite),
-    ("Integration", Integration.suite),
+    ("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 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

@@ -60,14 +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 =>
@@ -84,7 +83,7 @@ def test_m_couple: TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.tryTactic (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
@@ -93,7 +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.tryTactic (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
@@ -116,7 +115,7 @@ def test_m_couple_simp: TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.tryTactic (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
@@ -127,7 +126,7 @@ def test_m_couple_simp: TestM Unit := do
   addTest $ LSpec.check "(metavariables)" (serializedState1.map (·.target.dependentMVars?.get!) =
     #[#["_uniq.38"], #["_uniq.38"], #[]])
 
-  let state2 ← match ← state1.tryTactic (goalId := 2) (tactic := "exact 2") with
+  let state2 ← match ← state1.tacticOn (goalId := 2) (tactic := "exact 2") with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -141,7 +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.tryTactic (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
@@ -151,7 +150,7 @@ def test_m_couple_simp: TestM Unit := do
       addTest $ assertUnreachable $ msg
       return ()
     | .ok state => pure state
-  let state5 ← match ← state4.tryTactic (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
@@ -178,7 +177,7 @@ def test_proposition_generation: TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.tryTactic (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
@@ -192,21 +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
@@ -220,7 +220,7 @@ def test_partial_continuation: TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.tryTactic (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
@@ -228,7 +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.tryTactic (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
@@ -263,7 +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

Test/Proofs.lean

@@ -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 =>
@@ -71,6 +82,27 @@ 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
@@ -86,7 +118,7 @@ def test_nat_add_comm (manual: Bool): TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.tryTactic (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 test_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.tryTactic (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.tryTactic (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
@@ -118,14 +150,14 @@ def test_delta_variable: TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
 
-  let state1 ← match ← state0.tryTactic (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.tryTactic (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 test_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
     }
 
@@ -158,14 +189,14 @@ def test_arith: TestM Unit := do
       return ()
 
   let tactic := "intros"
-  let state1 ← match ← state0.tryTactic (goalId := 0) (tactic := tactic) with
+  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.goals.length = 1)
   addTest $ LSpec.test "(1 root)" state1.rootExpr?.isNone
-  let state2 ← match ← state1.tryTactic (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
@@ -173,7 +204,7 @@ def test_arith: TestM Unit := do
   addTest $ LSpec.check "simp ..." (state2.goals.length = 1)
   addTest $ LSpec.check "(2 root)" state2.rootExpr?.isNone
   let tactic := "assumption"
-  let state3 ← match ← state2.tryTactic (goalId := 0) (tactic := tactic) with
+  let state3 ← match ← state2.tacticOn (goalId := 0) (tactic := tactic) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -208,56 +239,81 @@ def test_or_comm: TestM Unit := do
   addTest $ LSpec.check "(0 root)" state0.rootExpr?.isNone
 
   let tactic := "intro p q h"
-  let state1 ← match ← state0.tryTactic (goalId := 0) (tactic := tactic) with
+  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 [("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 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.tryTactic (goalId := 0) (tactic := tactic) with
+  let state2 ← match ← state1.tacticOn (goalId := 0) (tactic := tactic) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
       return ()
   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 ← serializeExpressionSexp 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.tryTactic (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 ← serializeExpressionSexp 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.tryTactic (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 ← serializeExpressionSexp 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.tryTactic (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.tryTactic (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
@@ -271,13 +327,13 @@ def test_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.tryTactic (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.tryTactic (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
@@ -292,75 +348,12 @@ def test_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 }
       ]
     }
 
-def test_have: TestM Unit := do
-  let state? ← startProof (.expr "∀ (p q: Prop), p → ((p ∨ q) ∨ (p ∨ q))")
-  let state0 ← match state? with
-    | .some state => pure state
-    | .none => do
-      addTest $ assertUnreachable "Goal could not parse"
-      return ()
-  let tactic := "intro p q h"
-  let state1 ← match ← state0.tryTactic (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 [("p", "Prop"), ("q", "Prop"), ("h", "p")] "(p ∨ q) ∨ p ∨ q"])
-
-  let expr := "Or.inl (Or.inl h)"
-  let state2 ← match ← state1.tryAssign (goalId := 0) (expr := expr) with
-    | .success state => pure state
-    | other => do
-      addTest $ assertUnreachable $ other.toString
-      return ()
-  addTest $ LSpec.check s!":= {expr}" ((← state2.serializeGoals (options := ← read)).map (·.devolatilize) =
-    #[])
-
-  let haveBind := "y"
-  let haveType := "p ∨ q"
-  let state2 ← match ← state1.tryHave (goalId := 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 (options := ← read)).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 (goalId := 0) (expr := expr) with
-    | .success state => pure state
-    | other => do
-      addTest $ assertUnreachable $ other.toString
-      return ()
-  addTest $ LSpec.check s!":= {expr}" ((← state3.serializeGoals (options := ← read)).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 (goalId := 0) (expr := expr) with
-    | .success state => pure state
-    | other => do
-      addTest $ assertUnreachable $ other.toString
-      return ()
-  addTest $ LSpec.check s!":= {expr}" ((← state4.serializeGoals (options := ← read)).map (·.devolatilize) =
-    #[])
-
-  addTest $ LSpec.check "(4 root)" state4.rootExpr?.isSome
-
 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 =>
@@ -379,7 +372,7 @@ def test_conv: TestM Unit := do
       return ()
 
   let tactic := "intro a b c1 c2 h"
-  let state1 ← match ← state0.tryTactic (goalId := 0) (tactic := tactic) with
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -387,7 +380,7 @@ def test_conv: TestM Unit := do
   addTest $ LSpec.check tactic ((← state1.serializeGoals (options := ← read)).map (·.devolatilize) =
     #[interiorGoal [] "a + b + c1 = b + a + c2"])
 
-  let state2 ← match ← state1.conv (goalId := 0) with
+  let state2 ← match ← state1.conv (state1.get! 0) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -396,7 +389,7 @@ def test_conv: TestM Unit := do
     #[{ interiorGoal [] "a + b + c1 = b + a + c2" with isConversion := true }])
 
   let convTactic := "rhs"
-  let state3R ← match ← state2.tryTactic (goalId := 0) convTactic with
+  let state3R ← match ← state2.tacticOn (goalId := 0) convTactic with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -405,7 +398,7 @@ def test_conv: TestM Unit := do
     #[{ interiorGoal [] "b + a + c2" with isConversion := true }])
 
   let convTactic := "lhs"
-  let state3L ← match ← state2.tryTactic (goalId := 0) convTactic with
+  let state3L ← match ← state2.tacticOn (goalId := 0) convTactic with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -414,7 +407,7 @@ def test_conv: TestM Unit := do
     #[{ interiorGoal [] "a + b + c1" with isConversion := true }])
 
   let convTactic := "congr"
-  let state4 ← match ← state3L.tryTactic (goalId := 0) convTactic with
+  let state4 ← match ← state3L.tacticOn (goalId := 0) convTactic with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -426,7 +419,7 @@ def test_conv: TestM Unit := do
     ])
 
   let convTactic := "rw [Nat.add_comm]"
-  let state5_1 ← match ← state4.tryTactic (goalId := 0) convTactic with
+  let state5_1 ← match ← state4.tacticOn (goalId := 0) convTactic with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -435,7 +428,7 @@ def test_conv: TestM Unit := do
     #[{ interiorGoal [] "b + a" with isConversion := true, userName? := .some "a" }])
 
   let convTactic := "rfl"
-  let state6_1 ← match ← state5_1.tryTactic (goalId := 0) convTactic with
+  let state6_1 ← match ← state5_1.tacticOn (goalId := 0) convTactic with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -450,7 +443,7 @@ def test_conv: TestM Unit := do
       return ()
 
   let convTactic := "rfl"
-  let state6 ← match ← state4_1.tryTactic (goalId := 0) convTactic with
+  let state6 ← match ← state4_1.tacticOn (goalId := 0) convTactic with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -465,7 +458,7 @@ def test_conv: TestM Unit := do
       return ()
 
   let tactic := "exact h"
-  let stateF ← match ← state1_1.tryTactic (goalId := 0) (tactic := tactic) with
+  let stateF ← match ← state1_1.tacticOn (goalId := 0) (tactic := tactic) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -492,7 +485,7 @@ def test_calc: TestM Unit := do
       addTest $ assertUnreachable "Goal could not parse"
       return ()
   let tactic := "intro a b c d h1 h2"
-  let state1 ← match ← state0.tryTactic (goalId := 0) (tactic := tactic) with
+  let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -500,7 +493,7 @@ def test_calc: TestM Unit := do
   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 (goalId := 0) (pred := pred) with
+  let state2 ← match ← state1.tryCalc (state1.get! 0) (pred := pred) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -510,11 +503,11 @@ def test_calc: TestM Unit := do
       interiorGoal [] "a + b = b + c" (.some "calc"),
       interiorGoal [] "b + c = c + d"
     ])
-  addTest $ LSpec.test "(2.0 prev rhs)" (state2.calcPrevRhsOf? 0 |>.isNone)
-  addTest $ LSpec.test "(2.1 prev rhs)" (state2.calcPrevRhsOf? 1 |>.isSome)
+  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.tryTactic (goalId := 0) (tactic := tactic) with
+  let state2m ← match ← state2.tacticOn (goalId := 0) (tactic := tactic) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -525,7 +518,7 @@ def test_calc: TestM Unit := do
       addTest $ expectationFailure "continue" e
       return ()
   let pred := "_ = c + d"
-  let state4 ← match ← state3.tryCalc (goalId := 0) (pred := pred) with
+  let state4 ← match ← state3.tryCalc (state3.get! 0) (pred := pred) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -534,9 +527,9 @@ def test_calc: TestM Unit := do
     #[
       interiorGoal [] "b + c = c + d" (.some "calc")
     ])
-  addTest $ LSpec.test "(4.0 prev rhs)" (state4.calcPrevRhsOf? 0 |>.isNone)
+  addTest $ LSpec.test "(4.0 prev rhs)" (state4.calcPrevRhsOf? (state4.get! 0) |>.isNone)
   let tactic := "apply h2"
-  let state4m ← match ← state4.tryTactic (goalId := 0) (tactic := tactic) with
+  let state4m ← match ← state4.tacticOn (goalId := 0) (tactic := tactic) with
     | .success state => pure state
     | other => do
       addTest $ assertUnreachable $ other.toString
@@ -548,95 +541,181 @@ def test_calc: TestM Unit := do
         ("h1", "a + b = b + c"), ("h2", "b + c = c + d")] ++ free
       buildGoal free target userName?
 
-def test_let (specialized: Bool): TestM Unit := do
-  let state? ← startProof (.expr "∀ (a: Nat) (p: Prop), p → p ∨ ¬p")
+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 a p h"
-  let state1 ← match ← state0.tryTactic (goalId := 0) (tactic := tactic) with
+  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) =
-    #[interiorGoal [] "p ∨ ¬p"])
-
-
-  let letType := "Nat"
-  let expr := s!"let b: {letType} := _; _"
-  let result2 ← match specialized with
-    | true => state1.tryLet (goalId := 0) (binderName := "b") (type := letType)
-    | false => state1.tryAssign (goalId := 0) (expr := expr)
-  let state2 ← match result2 with
+    #[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 serializedState2 ← state2.serializeGoals (options := ← read)
-  addTest $ LSpec.check expr (serializedState2.map (·.devolatilize) =
+  addTest $ LSpec.check s!"mapply {recursor}" ((← state2.serializeGoals (options := ← read)).map (·.devolatilizeVars) =
     #[
-      interiorGoal [] letType,
-      interiorGoal [] "let b := ?m.20;\np ∨ ¬p"
+      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")
     ])
-  -- Check that the goal mvar ids match up
-  addTest $ LSpec.check expr ((serializedState2.map (·.name) |>.get! 0) = "_uniq.20")
 
-  let tactic := "exact a"
-  let state3 ← match ← state2.tryTactic (goalId := 0) (tactic := tactic) with
+  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 ((← state3.serializeGoals (options := ← read)).map (·.devolatilize) = #[])
-
-  let state3r ← match state3.continue state2 with
-    | .error msg => do
-      addTest $ assertUnreachable $ msg
-      return ()
+  addTest $ LSpec.check tactic ((← state3b.serializeGoals (options := ← read)).map (·.devolatilize) =
+    #[])
+  let state2b ← match state3b.continue state2 with
     | .ok state => pure state
-  addTest $ LSpec.check "(continue)" ((← state3r.serializeGoals (options := ← read)).map (·.devolatilize) =
-    #[interiorGoal [] "let b := a;\np ∨ ¬p"])
-
-  let tactic := "exact h"
-  match ← state3r.tryTactic (goalId := 0) (tactic := tactic) with
-  | .failure #[message] =>
-    addTest $ LSpec.check tactic  (message = "type mismatch\n  h\nhas type\n  p : Prop\nbut is expected to have type\n  let b := a;\n  p ∨ ¬p : Prop")
-  | other => do
-    addTest $ assertUnreachable $ other.toString
-
-  let tactic := "intro b"
-  let state4 ← match ← state3r.tryTactic (goalId := 0) (tactic := tactic) with
+    | .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 ()
-  let tactic := "exact Or.inl h"
-  let state5 ← match ← state4.tryTactic (goalId := 0) (tactic := tactic) with
+  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.test "(5 root)" state5.rootExpr?.isSome
-  where
-    interiorGoal (free: List (String × String)) (target: String) (userName?: Option String := .none) :=
-      let free := [("a", "Nat"), ("p", "Prop"), ("h", "p")] ++ free
-      buildGoal free target userName?
+  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 := [
+    ("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),
-    ("have", test_have),
     ("conv", test_conv),
     ("calc", test_calc),
-    ("let via assign", test_let false),
-    ("let via tryLet", test_let true),
+    ("Nat.zero_add", test_nat_zero_add),
+    ("Nat.zero_add alt", test_nat_zero_add_alt),
   ]
   tests.map (fun (name, test) => (name, proofRunner env test))
 

Test/Serial.lean

@@ -50,9 +50,9 @@ 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))"),
-    -- This tests `autoBoundImplicit`
     ("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
@@ -64,7 +64,7 @@ def test_sexp_of_elab (env: Environment): IO LSpec.TestSeq := do
         | .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 := defaultTermElabMContext)
+    let metaM := (Elab.Term.withLevelNames levels termElabM).run' (ctx := Condensed.elabContext)
     return LSpec.TestSeq.append suites (← runMetaMSeq env metaM))
     LSpec.TestSeq.done
 
@@ -85,7 +85,7 @@ def test_sexp_of_expr (env: Environment): IO LSpec.TestSeq := do
     let testCaseName := target.take 10
     let test := LSpec.check   testCaseName ((← serializeExpressionSexp expr) = target)
     return LSpec.TestSeq.append suites test) LSpec.TestSeq.done
-  runMetaMSeq env $ termElabM.run' (ctx := defaultTermElabMContext)
+  runMetaMSeq env $ termElabM.run' (ctx := Condensed.elabContext)
 
 -- Instance parsing
 def test_instance (env: Environment): IO LSpec.TestSeq :=

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 ← 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

@@ -42,16 +42,16 @@
         "nixpkgs-old": "nixpkgs-old"
       },
       "locked": {
-        "lastModified": 1714704934,
-        "narHash": "sha256-q0kLyIahUXolkSrBZSegPF+R99WAH1YC96JfKoFntDE=",
+        "lastModified": 1719788866,
+        "narHash": "sha256-kB2cp1XJKODXiuiKp7J5OK+PFP+sOSBE5gdVNOKWCPI=",
         "owner": "leanprover",
         "repo": "lean4",
-        "rev": "dcccfb73cb247e9478220375ab7de03f7c67e505",
+        "rev": "3b58e0649156610ce3aeed4f7b5c652340c668d4",
         "type": "github"
       },
       "original": {
         "owner": "leanprover",
-        "ref": "v4.8.0-rc1",
+        "ref": "v4.10.0-rc1",
         "repo": "lean4",
         "type": "github"
       }
@@ -91,16 +91,16 @@
     "lspec": {
       "flake": false,
       "locked": {
-        "lastModified": 1701971219,
-        "narHash": "sha256-HYDRzkT2UaLDrqKNWesh9C4LJNt0JpW0u68wYVj4Byw=",
+        "lastModified": 1722857503,
+        "narHash": "sha256-F9uaymiw1wTCLrJm4n1Bpk3J8jW6poedQzvnnQlZ6Kw=",
         "owner": "lurk-lab",
         "repo": "LSpec",
-        "rev": "3388be5a1d1390594a74ec469fd54a5d84ff6114",
+        "rev": "8a51034d049c6a229d88dd62f490778a377eec06",
         "type": "github"
       },
       "original": {
         "owner": "lurk-lab",
-        "ref": "3388be5a1d1390594a74ec469fd54a5d84ff6114",
+        "ref": "8a51034d049c6a229d88dd62f490778a377eec06",
         "repo": "LSpec",
         "type": "github"
       }

flake.nix

@@ -6,10 +6,10 @@
     flake-parts.url = "github:hercules-ci/flake-parts";
     lean = {
       # Do not follow input's nixpkgs since it could cause build failures
-      url = "github:leanprover/lean4?ref=v4.8.0-rc1";
+      url = "github:leanprover/lean4?ref=v4.10.0-rc1";
     };
     lspec = {
-      url = "github:lurk-lab/LSpec?ref=3388be5a1d1390594a74ec469fd54a5d84ff6114";
+      url = "github:lurk-lab/LSpec?ref=8a51034d049c6a229d88dd62f490778a377eec06";
       flake = false;
     };
   };
@@ -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" {

lakefile.lean

@@ -4,13 +4,16 @@ 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
 }
 
@@ -18,8 +21,9 @@ require LSpec from git
   "https://github.com/lurk-lab/LSpec.git" @ "3388be5a1d1390594a74ec469fd54a5d84ff6114"
 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:v4.8.0-rc1
+leanprover/lean4:v4.10.0-rc1