chore: move to new frontend
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1 changed files with 96 additions and 106 deletions
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@ -1,3 +1,4 @@
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#lang lean4
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/-
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Copyright (c) 2020 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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@ -11,138 +12,127 @@ import Lean.Meta.Tactic.Intro
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import Lean.Meta.Tactic.Clear
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import Lean.Meta.Tactic.FVarSubst
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namespace Lean
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namespace Meta
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namespace Lean.Meta
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def substCore (mvarId : MVarId) (hFVarId : FVarId) (symm := false) (fvarSubst : FVarSubst := {}) (clearH := true) : MetaM (FVarSubst × MVarId) :=
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withMVarContext mvarId $ do
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tag ← getMVarTag mvarId;
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checkNotAssigned mvarId `subst;
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let hFVarIdOriginal := hFVarId;
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hLocalDecl ← getLocalDecl hFVarId;
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eq? ← matchEq? hLocalDecl.type;
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match eq? with
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withMVarContext mvarId do
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let tag ← getMVarTag mvarId
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checkNotAssigned mvarId `subst
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let hFVarIdOriginal := hFVarId
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let hLocalDecl ← getLocalDecl hFVarId
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match (← matchEq? hLocalDecl.type) with
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| none => throwTacticEx `subst mvarId "argument must be an equality proof"
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| some (α, lhs, rhs) => do
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let a := if symm then rhs else lhs;
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let b := if symm then lhs else rhs;
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a ← whnf a;
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let a := if symm then rhs else lhs
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let b := if symm then lhs else rhs
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let a ← whnf a
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match a with
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| Expr.fvar aFVarId _ => do
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let aFVarIdOriginal := aFVarId;
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trace! `Meta.Tactic.subst ("substituting " ++ a ++ " (id: " ++ aFVarId ++ ") with " ++ b);
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mctx ← getMCtx;
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when (mctx.exprDependsOn b aFVarId) $
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throwTacticEx `subst mvarId ("'" ++ a ++ "' occurs at" ++ indentExpr b);
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aLocalDecl ← getLocalDecl aFVarId;
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(vars, mvarId) ← revert mvarId #[aFVarId, hFVarId] true;
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(twoVars, mvarId) ← introNP mvarId 2;
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trace! `Meta.Tactic.subst ("reverted variables " ++ toString vars);
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let aFVarId := twoVars.get! 0;
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let a := mkFVar aFVarId;
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let hFVarId := twoVars.get! 1;
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let h := mkFVar hFVarId;
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withMVarContext mvarId $ do
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mvarDecl ← getMVarDecl mvarId;
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let type := mvarDecl.type;
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hLocalDecl ← getLocalDecl hFVarId;
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eq? ← matchEq? hLocalDecl.type;
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match eq? with
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let aFVarIdOriginal := aFVarId
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trace[Meta.Tactic.subst]! "substituting {a} (id: {aFVarId} with {b}"
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let mctx ← getMCtx
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if mctx.exprDependsOn b aFVarId then
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throwTacticEx `subst mvarId msg!"'{a}' occurs at{indentExpr b}"
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let aLocalDecl ← getLocalDecl aFVarId
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let (vars, mvarId) ← revert mvarId #[aFVarId, hFVarId] true
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let (twoVars, mvarId) ← introNP mvarId 2
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trace[Meta.Tactic.subst]! "reverted variables {vars}"
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let aFVarId := twoVars[0]
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let a := mkFVar aFVarId
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let hFVarId := twoVars[1]
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let h := mkFVar hFVarId
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withMVarContext mvarId do
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let mvarDecl ← getMVarDecl mvarId
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let type := mvarDecl.type
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let hLocalDecl ← getLocalDecl hFVarId
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match (← matchEq? hLocalDecl.type) with
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| none => unreachable!
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| some (α, lhs, rhs) => do
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let b := if symm then lhs else rhs;
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mctx ← getMCtx;
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let depElim := mctx.exprDependsOn mvarDecl.type hFVarId;
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let continue (motive : Expr) (newType : Expr) : MetaM (FVarSubst × MVarId) := do {
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major ← if symm then pure h else mkEqSymm h;
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newMVar ← mkFreshExprSyntheticOpaqueMVar newType tag;
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let minor := newMVar;
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newVal ← if depElim then mkEqRec motive minor major else mkEqNDRec motive minor major;
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assignExprMVar mvarId newVal;
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let mvarId := newMVar.mvarId!;
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mvarId ←
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if clearH then do
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mvarId ← clear mvarId hFVarId;
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let b := if symm then lhs else rhs
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let mctx ← getMCtx
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let depElim := mctx.exprDependsOn mvarDecl.type hFVarId
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let cont (motive : Expr) (newType : Expr) : MetaM (FVarSubst × MVarId) := do
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let major ← if symm then pure h else mkEqSymm h
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let newMVar ← mkFreshExprSyntheticOpaqueMVar newType tag
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let minor := newMVar
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let newVal ← if depElim then mkEqRec motive minor major else mkEqNDRec motive minor major
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assignExprMVar mvarId newVal
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let mvarId := newMVar.mvarId!
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let mvarId ←
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if clearH then
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let mvarId ← clear mvarId hFVarId
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clear mvarId aFVarId
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else
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pure mvarId;
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(newFVars, mvarId) ← introNP mvarId (vars.size - 2);
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fvarSubst ← newFVars.size.foldM
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(fun i (fvarSubst : FVarSubst) =>
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let var := vars.get! (i+2);
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let newFVar := newFVars.get! i;
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pure $ fvarSubst.insert var (mkFVar newFVar))
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fvarSubst;
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let fvarSubst := fvarSubst.insert aFVarIdOriginal (if clearH then b else mkFVar aFVarId);
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let fvarSubst := fvarSubst.insert hFVarIdOriginal (mkFVar hFVarId);
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pure mvarId
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let (newFVars, mvarId) ← introNP mvarId (vars.size - 2)
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let fvarSubst ← newFVars.size.foldM (init := fvarSubst) fun i (fvarSubst : FVarSubst) =>
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let var := vars[i+2]
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let newFVar := newFVars[i]
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pure $ fvarSubst.insert var (mkFVar newFVar)
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let fvarSubst := fvarSubst.insert aFVarIdOriginal (if clearH then b else mkFVar aFVarId)
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let fvarSubst := fvarSubst.insert hFVarIdOriginal (mkFVar hFVarId)
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pure (fvarSubst, mvarId)
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};
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if depElim then do
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let newType := type.replaceFVar a b;
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reflB ← mkEqRefl b;
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let newType := newType.replaceFVar h reflB;
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if symm then do
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motive ← mkLambdaFVars #[a, h] type;
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continue motive newType
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else do
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let newType := type.replaceFVar a b
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let reflB ← mkEqRefl b
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let newType := newType.replaceFVar h reflB
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if symm then
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let motive ← mkLambdaFVars #[a, h] type
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cont motive newType
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else
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/- `type` depends on (h : a = b). So, we use the following trick to avoid a type incorrect motive.
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1- Create a new local (hAux : b = a)
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2- Create newType := type [hAux.symm / h]
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`newType` is type correct because `h` and `hAux.symm` are definitionally equal by proof irrelevance.
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3- Create motive by abstracting `a` and `hAux` in `newType`. -/
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hAuxType ← mkEq b a;
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motive ← withLocalDeclD `_h hAuxType $ fun hAux => do {
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hAuxSymm ← mkEqSymm hAux;
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let hAuxType ← mkEq b a
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let motive ← withLocalDeclD `_h hAuxType fun hAux => do
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let hAuxSymm ← mkEqSymm hAux
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/- replace h in type with hAuxSymm -/
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let newType := type.replaceFVar h hAuxSymm;
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let newType := type.replaceFVar h hAuxSymm
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mkLambdaFVars #[a, hAux] newType
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};
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continue motive newType
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else do
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motive ← mkLambdaFVars #[a] type;
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let newType := type.replaceFVar a b;
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continue motive newType
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cont motive newType
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else
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let motive ← mkLambdaFVars #[a] type
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let newType := type.replaceFVar a b
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cont motive newType
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| _ =>
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throwTacticEx `subst mvarId $
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"invalid equality proof, it is not of the form "
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++ (if symm then "(t = x)" else "(x = t)")
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++ indentExpr hLocalDecl.type
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++ Format.line ++ "after WHNF, variable expected, but obtained" ++ indentExpr a
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let eqMsg := if symm then "(t = x)" else "(x = t)"
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throwTacticEx `subst mvarId
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msg!"invalid equality proof, it is not of the form {eqMsg}{indentExpr hLocalDecl.type}\nafter WHNF, variable expected, but obtained{indentExpr a}"
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def subst (mvarId : MVarId) (hFVarId : FVarId) : MetaM MVarId :=
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withMVarContext mvarId $ do
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hLocalDecl ← getLocalDecl hFVarId;
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eq? ← matchEq? hLocalDecl.type;
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match eq? with
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| some (α, lhs, rhs) => do
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rhs ← whnf rhs;
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withMVarContext mvarId do
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let hLocalDecl ← getLocalDecl hFVarId
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match (← matchEq? hLocalDecl.type) with
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| some (α, lhs, rhs) =>
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let rhs ← whnf rhs
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if rhs.isFVar then
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Prod.snd <$> substCore mvarId hFVarId true
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(·.2) <$> substCore mvarId hFVarId true
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else do
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lhs ← whnf lhs;
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let lhs ← whnf lhs
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if lhs.isFVar then
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Prod.snd <$> substCore mvarId hFVarId
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(·.2) <$> substCore mvarId hFVarId
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else do
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throwTacticEx `subst mvarId $
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"invalid equality proof, it is not of the form (x = t) or (t = x)"
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++ indentExpr hLocalDecl.type
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| none => do
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mctx ← getMCtx;
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lctx ← getLCtx;
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some (fvarId, symm) ← lctx.findDeclM?
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(fun localDecl => if localDecl.isAuxDecl then pure none else do
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eq? ← matchEq? localDecl.type;
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match eq? with
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| some (α, lhs, rhs) =>
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if rhs.isFVar && rhs.fvarId! == hFVarId && !mctx.exprDependsOn lhs hFVarId then
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pure $ some (localDecl.fvarId, true)
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else if lhs.isFVar && lhs.fvarId! == hFVarId && !mctx.exprDependsOn rhs hFVarId then
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pure $ some (localDecl.fvarId, false)
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else
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pure none
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| _ => pure none)
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| throwTacticEx `subst mvarId ("did not find equation for eliminating '" ++ mkFVar hFVarId ++ "'");
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Prod.snd <$> substCore mvarId fvarId symm
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throwTacticEx `subst mvarId msg!"invalid equality proof, it is not of the form (x = t) or (t = x){indentExpr hLocalDecl.type}"
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| none =>
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let mctx ← getMCtx
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let lctx ← getLCtx
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let some (fvarId, symm) ← lctx.findDeclM? fun localDecl => do
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if localDecl.isAuxDecl then
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pure none
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else
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match (← matchEq? localDecl.type) with
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| some (α, lhs, rhs) =>
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if rhs.isFVar && rhs.fvarId! == hFVarId && !mctx.exprDependsOn lhs hFVarId then
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pure $ some (localDecl.fvarId, true)
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else if lhs.isFVar && lhs.fvarId! == hFVarId && !mctx.exprDependsOn rhs hFVarId then
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pure $ some (localDecl.fvarId, false)
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else
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pure none
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| _ => pure none
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| throwTacticEx `subst mvarId msg!"did not find equation for eliminating '{mkFVar hFVarId}'"
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(·.2) <$> substCore mvarId fvarId symm
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@[init] private def regTraceClasses : IO Unit :=
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registerTraceClass `Meta.Tactic.subst
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