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