feat: Elementarized tactics with motives, congruence, and absurdity #72
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@ -252,6 +252,7 @@ protected def GoalState.tryAssign (state: GoalState) (goalId: Nat) (expr: String
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let goal ← match state.savedState.tactic.goals.get? goalId with
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| .some goal => pure goal
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| .none => return .indexError goalId
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goal.checkNotAssigned `GoalState.tryAssign
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let expr ← match Parser.runParserCategory
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(env := state.env)
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(catName := `term)
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@ -275,6 +276,7 @@ protected def GoalState.tryHave (state: GoalState) (goalId: Nat) (binderName: St
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let goal ← match state.savedState.tactic.goals.get? goalId with
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| .some goal => pure goal
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| .none => return .indexError goalId
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goal.checkNotAssigned `GoalState.tryHave
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let type ← match Parser.runParserCategory
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(env := state.env)
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(catName := `term)
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@ -324,6 +326,7 @@ protected def GoalState.tryLet (state: GoalState) (goalId: Nat) (binderName: Str
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let goal ← match state.savedState.tactic.goals.get? goalId with
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| .some goal => pure goal
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| .none => return .indexError goalId
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goal.checkNotAssigned `GoalState.tryLet
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let type ← match Parser.runParserCategory
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(env := state.env)
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(catName := `term)
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@ -369,6 +372,7 @@ protected def GoalState.conv (state: GoalState) (goalId: Nat):
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let goal ← match state.savedState.tactic.goals.get? goalId with
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| .some goal => pure goal
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| .none => return .indexError goalId
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goal.checkNotAssigned `GoalState.conv
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let tacticM : Elab.Tactic.TacticM (Elab.Tactic.SavedState × MVarId) := do
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state.restoreTacticM goal
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@ -452,6 +456,7 @@ protected def GoalState.tryCalc (state: GoalState) (goalId: Nat) (pred: String):
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(fileName := filename) with
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| .ok syn => pure syn
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| .error error => return .parseError error
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goal.checkNotAssigned `GoalState.tryCalc
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let calcPrevRhs? := state.calcPrevRhsOf? goalId
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let target ← instantiateMVars (← goal.getDecl).type
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let tag := (← goal.getDecl).userName
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@ -510,4 +515,65 @@ protected def GoalState.tryCalc (state: GoalState) (goalId: Nat) (pred: String):
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catch exception =>
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return .failure #[← exception.toMessageData.toString]
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def getForallArgsBody: Expr → List Expr × Expr
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| .forallE _ d b _ =>
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let (innerArgs, innerBody) := getForallArgsBody b
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(d :: innerArgs, innerBody)
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| e => ([], e)
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def collectMotiveArguments (forallBody: Expr): SSet Nat :=
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-- Get all de Bruijn indices
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Id.run $ do
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Expr.foldlM (λ acc subexpr => do
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match subexpr with
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| .app (.bvar i) _ => return acc.insert i
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| _ => return acc
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) SSet.empty forallBody
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protected def GoalState.tryMotivatedApply (state: GoalState) (goalId: Nat) (recursor: String):
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Elab.TermElabM TacticResult := do
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state.restoreElabM
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let goal ← match state.savedState.tactic.goals.get? goalId with
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| .some goal => pure goal
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| .none => return .indexError goalId
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goal.checkNotAssigned `GoalState.tryMotivatedApply
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let recursor ← match Parser.runParserCategory
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(env := state.env)
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(catName := `term)
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(input := recursor)
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(fileName := filename) with
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| .ok syn => pure syn
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| .error error => return .parseError error
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try
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-- Implemented similarly to the intro tactic
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let nextGoals: List MVarId ← goal.withContext do
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let recursor ← Elab.Term.elabType (stx := recursor)
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let recursorType ← Meta.inferType recursor
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let (forallArgs, forallBody) := getForallArgsBody recursorType
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let motiveIndices := collectMotiveArguments forallBody
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let numArgs ← Meta.getExpectedNumArgs recursorType
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let rec go (i: Nat): MetaM (List MVarId × Expr) := do
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let argType := forallArgs.get! i
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sorry
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let (newMVars, assign) ← go numArgs
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goal.assign assign
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pure newMVars
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return .success {
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root := state.root,
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savedState := {
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term := ← MonadBacktrack.saveState,
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tactic := { goals := nextGoals }
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},
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newMVars := nextGoals.toSSet,
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parentMVar? := .some goal,
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calcPrevRhs? := .none
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}
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catch exception =>
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return .failure #[← exception.toMessageData.toString]
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end Pantograph
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Reference in New Issue