5 changed files with 122 additions and 65 deletions
--- a/Pantograph/Expr.lean
+++ b/Pantograph/Expr.lean
@ -12,7 +12,8 @@ def unfoldAuxLemmas (e : Expr) : CoreM Expr := do

 /--
 Force the instantiation of delayed metavariables even if they cannot be fully
-instantiated. This is used during resumption.
+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
@ -25,59 +26,72 @@ This function ensures any metavariable in the result is either
 2. Not assigned (delay or not)
 -/
 partial def instantiateDelayedMVars (eOrig: Expr) : MetaM Expr := do
-  --let padding := String.join $ List.replicate level "  "
+  --let padding := String.join $ List.replicate level "│ "
  --IO.println s!"{padding}Starting {toString eOrig}"
-  let result ← Meta.transform (← instantiateMVars eOrig)
+  let mut result ← Meta.transform (← instantiateMVars eOrig)
    (pre := fun e => e.withApp fun f args => do
-      --IO.println s!"{padding} V {toString e}"
-      if let .mvar mvarId := f then
-        if ← mvarId.isAssigned then
-          --IO.println s!"{padding} A ?{mvarId.name}"
-          return .continue <| .some (← self e)
-        if let some { fvars, mvarIdPending } ← getDelayedMVarAssignment? mvarId then
-          -- No progress can be made on this
-          if !(← mvarIdPending.isAssigned) then
-            --IO.println s!"{padding} D/T1: {toString e}"
+      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

-          --IO.println s!"{padding} D ?{mvarId.name} := [{fvars.size}] ?{mvarIdPending.name}"
-          -- This asstion fails when a tactic or elaboration function is
-          -- implemented incorrectly. See `instantiateExprMVars`
-          if args.size < fvars.size then
-            --IO.println s!"{padding} Illegal callsite: {args.size} < {fvars.size}"
-            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}"
-          assert! !(← mvarIdPending.isDelayedAssigned)
-          let pending ← self (.mvar mvarIdPending)
-          if pending == .mvar mvarIdPending then
-            -- No progress could be made on this case
-            --IO.println s!"{padding}D/N {toString e}"
-            assert! !(← mvarIdPending.isAssigned)
-            assert! !(← mvarIdPending.isDelayedAssigned)
-          --else if pending.isMVar then
-          --  assert! !(← pending.mvarId!.isAssigned)
-          --  assert! !(← pending.mvarId!.isDelayedAssigned)
-          --  -- Progress made, but this is now another delayed assigned mvar
-          --  let nextMVarId ← mkFreshMVarId
-          --  assignDelayedMVar nextMVarId fvars pending.mvarId!
-          --  let args ← args.mapM self
-          --  let result := mkAppN (.mvar nextMVarId) args
-          --  return .done result
-          else
-            -- Progress has been made on this mvar
-            let pending := pending.abstract fvars
-            let args ← args.mapM self
-            -- Craete the function call structure
-            let subst := pending.instantiateRevRange 0 fvars.size args
-            let result := mkAppRange subst fvars.size args.size args
-            --IO.println s!"{padding}D/T2 {toString result}"
+        let pending ← mvarIdPending.withContext do
+          let inner ← instantiateDelayedMVars (.mvar mvarIdPending) --(level := level + 1)
+          --IO.println s!"{padding}├Pre: {inner}"
+          let r := (← Expr.abstractM inner fvars).instantiateRev args
+          pure r
+
+        -- Tail arguments
+        let result := mkAppN pending (List.drop fvars.size args.toList |>.toArray)
+        --IO.println s!"{padding}├MD {result}"
        return .done result
-      return .continue)
-  --IO.println s!"{padding}Result {toString 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
+  self e := instantiateDelayedMVars e --(level := level + 1)

 /--
 Convert an expression to an equiavlent form with
--- a/Pantograph/Goal.lean
+++ b/Pantograph/Goal.lean
@ -62,6 +62,16 @@ 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
+
+protected def GoalState.withContext (state: GoalState) (mvarId: MVarId) (m: MetaM α): MetaM α := do
+  let metaM := mvarId.withContext m
+  metaM.run' (← read) state.savedState.term.meta.meta
+
+protected def GoalState.withParentContext (state: GoalState) (m: MetaM α): MetaM α := do
+  state.withContext state.parentMVar?.get! m
+protected def GoalState.withRootContext (state: GoalState) (m: MetaM α): MetaM α := do
+  state.withContext state.root m
+
 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 :=
--- a/Pantograph/Library.lean
+++ b/Pantograph/Library.lean
@ -179,9 +179,11 @@ def goalPrint (state: GoalState) (options: @&Protocol.Options): Lean.CoreM Proto
  runMetaM do
    state.restoreMetaM
    return {
-      root? := ← state.rootExpr?.mapM (λ expr => do
+      root? := ← state.rootExpr?.mapM (λ expr =>
+        state.withRootContext do
          serializeExpression options (← instantiateAll expr)),
-      parent? := ← state.parentExpr?.mapM (λ expr => do
+      parent? := ← state.parentExpr?.mapM (λ expr =>
+        state.withParentContext do
          serializeExpression options (← instantiateAll expr)),
    }
@[export pantograph_goal_diag_m]
--- a/Pantograph/Serial.lean
+++ b/Pantograph/Serial.lean
@ -264,7 +264,7 @@ 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 (← instantiate mvarDecl.type)),
+      target := (← serializeExpression options (← instantiateMVars (← instantiate mvarDecl.type))),
      vars := vars.reverse.toArray
    }
  where
--- a/Test/Proofs.lean
+++ b/Test/Proofs.lean
@ -84,6 +84,27 @@ 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.tryTactic (goalId := 0) (tactic := 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
@ -243,8 +264,9 @@ def test_or_comm: TestM Unit := do
  addTest $ LSpec.check "(1 parent)" state1.parentExpr?.isSome
  addTest $ LSpec.check "(1 root)" state1.rootExpr?.isNone

-  let state1parent ← 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}) (:fv {fvP}) (:fv {fvQ}) 0))))")
+  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
    | .success state => pure state
@ -253,25 +275,31 @@ def test_or_comm: TestM Unit := do
      return ()
  addTest $ LSpec.check tactic ((← state2.serializeGoals (options := ← read)).map (·.devolatilize) =
    #[branchGoal "inl" "p", branchGoal "inr" "q"])
-  let (caseL, caseR) := ("_uniq.62", "_uniq.75")
+  let (caseL, caseR) := ("_uniq.64", "_uniq.77")
  addTest $ LSpec.check tactic ((← state2.serializeGoals (options := ← read)).map (·.name) =
    #[caseL, caseR])
-  addTest $ LSpec.check "(2 parent)" state2.parentExpr?.isSome
+  addTest $ LSpec.check "(2 parent exists)" state2.parentExpr?.isSome
  addTest $ LSpec.check "(2 root)" state2.rootExpr?.isNone

-  let state2parent ← serializeExpressionSexp (← instantiateAll state2.parentExpr?.get!) (sanitize := false)
+  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 ==
-    s!"((:c Or.casesOn) (:fv {fvP}) (:fv {fvQ}) (:lambda t._@._hyg.26 {orPQ} (:forall h ((:c Eq) {orPQ} (:fv {fvH}) 0) {orQP})) (:fv {fvH}) (:lambda h._@._hyg.27 (:fv {fvP}) (:lambda h._@._hyg.28 ((:c Eq) {orPQ} (:fv {fvH}) ((:c Or.inl) (:fv {fvP}) (:fv {fvQ}) 0)) (:mv {caseL}))) (:lambda h._@._hyg.29 (:fv {fvQ}) (:lambda h._@._hyg.30 ((:c Eq) {orPQ} (:fv {fvH}) ((:c Or.inr) (:fv {fvP}) (:fv {fvQ}) 0)) (:mv {caseR}))) ((:c Eq.refl) {orPQ} (:fv {fvH})))")
+    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
    | .success state => pure state
    | other => do
      addTest $ assertUnreachable $ other.toString
      return ()
-  let state3_1parent ← 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.87))")
+  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
    | .success state => pure state
@ -800,14 +828,16 @@ def test_nat_zero_add_alt: TestM Unit := do
  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 "(?motive.a = ?motive.a) = (n + 0 = n)",
-          sexp? := .some s!"((:c Eq) (:sort 0) ((:c Eq) (:mv {eqT}) (:mv {eqL}) (:mv {eqR})) ((:c Eq) (:c Nat) ({cNatAdd} (:fv {fvN}) {cNat0}) (:fv {fvN})))",
+          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,
@ -820,6 +850,7 @@ def test_nat_zero_add_alt: TestM Unit := do

 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),