feat: Elementarized tactics with motives, congruence, and absurdity #72
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@ -7,24 +7,11 @@ open Pantograph
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namespace Pantograph.Test.Tactic.MotivatedApply
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def valueAndType (recursor: String): MetaM (Expr × Expr) := do
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let recursor ← match Parser.runParserCategory
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(env := ← MonadEnv.getEnv)
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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 => throwError "Failed to parse: {error}"
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runTermElabMInMeta do
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let recursor ← Elab.Term.elabTerm (stx := recursor) .none
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let recursorType ← Meta.inferType recursor
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return (recursor, recursorType)
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def test_type_extract (env: Environment): IO LSpec.TestSeq :=
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runMetaMSeq env do
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let mut tests := LSpec.TestSeq.done
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let (recursor, recursorType) ← valueAndType "@Nat.brecOn"
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let recursor ← parseSentence "@Nat.brecOn"
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let recursorType ← Meta.inferType recursor
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tests := tests ++ LSpec.check "recursorType" ("{motive : Nat → Sort ?u.1} → (t : Nat) → ((t : Nat) → Nat.below t → motive t) → motive t" =
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(← exprToStr recursorType))
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let info ← match Tactic.getRecursorInformation recursorType with
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@ -39,7 +26,7 @@ def test_type_extract (env: Environment): IO LSpec.TestSeq :=
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def test_nat_brec_on (env: Environment): IO LSpec.TestSeq :=
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let expr := "λ (n t: Nat) => n + 0 = n"
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runMetaMSeq env do
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let (expr, exprType) ← valueAndType expr
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let expr ← parseSentence expr
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Meta.lambdaTelescope expr $ λ _ body => do
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let recursor ← match Parser.runParserCategory
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(env := ← MonadEnv.getEnv)
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@ -59,7 +46,7 @@ def test_nat_brec_on (env: Environment): IO LSpec.TestSeq :=
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"Nat → Prop",
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"Nat",
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"∀ (t : Nat), Nat.below t → ?motive t",
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"?motive ?m.69 = (n + 0 = n)",
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"?motive ?m.67 = (n + 0 = n)",
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])
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tests := tests ++ test
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return tests
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@ -67,7 +54,7 @@ def test_nat_brec_on (env: Environment): IO LSpec.TestSeq :=
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def test_list_brec_on (env: Environment): IO LSpec.TestSeq :=
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let expr := "λ {α : Type} (l: List α) => l ++ [] = [] ++ l"
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runMetaMSeq env do
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let (expr, exprType) ← valueAndType expr
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let expr ← parseSentence expr
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Meta.lambdaTelescope expr $ λ _ body => do
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let recursor ← match Parser.runParserCategory
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(env := ← MonadEnv.getEnv)
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@ -84,11 +71,11 @@ def test_list_brec_on (env: Environment): IO LSpec.TestSeq :=
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let newGoals ← runTacticOnMVar tactic target.mvarId!
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pure $ LSpec.check "goals" ((← newGoals.mapM (λ g => do exprToStr (← g.getType))) =
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[
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"Type ?u.92",
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"List ?m.94 → Prop",
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"List ?m.94",
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"∀ (t : List ?m.94), List.below t → ?motive t",
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"?motive ?m.96 = (l ++ [] = [] ++ l)",
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"Type ?u.90",
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"List ?m.92 → Prop",
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"List ?m.92",
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"∀ (t : List ?m.92), List.below t → ?motive t",
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"?motive ?m.94 = (l ++ [] = [] ++ l)",
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])
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tests := tests ++ test
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return tests
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@ -103,30 +90,31 @@ def test_partial_motive_instantiation (env: Environment): IO LSpec.TestSeq := do
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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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let (expr, exprType) ← valueAndType expr
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let expr ← parseSentence expr
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Meta.lambdaTelescope expr $ λ _ body => do
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let mut tests := LSpec.TestSeq.done
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-- Apply the tactic
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let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
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let tactic := Tactic.motivatedApply recursor
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let newGoals ← runTacticOnMVar tactic target.mvarId!
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let majorId := 67
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tests := tests ++ (LSpec.check "goals" ((← newGoals.mapM (λ g => do exprToStr (← g.getType))) =
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[
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"Nat → Prop",
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"Nat",
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"∀ (t : Nat), Nat.below t → ?motive t",
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"?motive ?m.69 = (n + 0 = n)",
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s!"?motive ?m.{majorId} = (n + 0 = n)",
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]))
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let [motive, major, step, conduit] := newGoals | panic! "Incorrect goal number"
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tests := tests ++ (LSpec.check "goal name" (major.name.toString = "_uniq.69"))
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tests := tests ++ (LSpec.check "goal name" (major.name.toString = s!"_uniq.{majorId}"))
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-- Assign motive to `λ x => x + _`
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let (motive_assign, _) ← valueAndType "λ (x: Nat) => @Nat.add x + 0 = _"
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let motive_assign ← parseSentence "λ (x: Nat) => @Nat.add x + 0 = _"
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motive.assign motive_assign
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let test ← conduit.withContext do
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let t := toString (← Meta.ppExpr $ ← conduit.getType)
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return LSpec.check "conduit" (t = "(?m.69.add + 0 = ?m.140 ?m.69) = (n + 0 = n)")
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return LSpec.check "conduit" (t = s!"(?m.{majorId}.add + 0 = ?m.138 ?m.{majorId}) = (n + 0 = n)")
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tests := tests ++ test
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return tests
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@ -7,23 +7,10 @@ open Pantograph
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namespace Pantograph.Test.Tactic.NoConfuse
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def valueAndType (recursor: String): MetaM (Expr × Expr) := do
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let recursor ← match Parser.runParserCategory
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(env := ← MonadEnv.getEnv)
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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 => throwError "Failed to parse: {error}"
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runTermElabMInMeta do
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let recursor ← Elab.Term.elabTerm (stx := recursor) .none
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let recursorType ← Meta.inferType recursor
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return (recursor, recursorType)
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def test_nat (env: Environment): IO LSpec.TestSeq :=
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let expr := "λ (n: Nat) (h: 0 = n + 1) => False"
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runMetaMSeq env do
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let (expr, exprType) ← valueAndType expr
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let expr ← parseSentence expr
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Meta.lambdaTelescope expr $ λ _ body => do
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let recursor ← match Parser.runParserCategory
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(env := ← MonadEnv.getEnv)
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@ -46,7 +33,7 @@ def test_nat (env: Environment): IO LSpec.TestSeq :=
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def test_nat_fail (env: Environment): IO LSpec.TestSeq :=
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let expr := "λ (n: Nat) (h: n = n) => False"
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runMetaMSeq env do
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let (expr, _) ← valueAndType expr
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let expr ← parseSentence expr
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Meta.lambdaTelescope expr $ λ _ body => do
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let recursor ← match Parser.runParserCategory
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(env := ← MonadEnv.getEnv)
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@ -70,7 +57,7 @@ def test_nat_fail (env: Environment): IO LSpec.TestSeq :=
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def test_list (env: Environment): IO LSpec.TestSeq :=
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let expr := "λ (l: List Nat) (h: [] = 1 :: l) => False"
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runMetaMSeq env do
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let (expr, exprType) ← valueAndType expr
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let expr ← parseSentence expr
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Meta.lambdaTelescope expr $ λ _ body => do
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let recursor ← match Parser.runParserCategory
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(env := ← MonadEnv.getEnv)
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