e086b9b5c6
This PR fixes missing zetaDelta support at the pattern matching/unification procedure in the new Sym framework.
68 lines
2.4 KiB
Text
68 lines
2.4 KiB
Text
import Lean.Meta.Sym
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open Lean Meta Sym Grind
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set_option grind.debug true
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opaque p : Nat → Prop
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opaque q : Nat → Nat → Prop
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axiom pax : p x
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def ex := ∃ x : Nat, p x ∧ x = .zero
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def test1 : SymM Unit := do
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let pEx ← mkPatternFromDecl ``Exists.intro
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let pAnd ← mkPatternFromDecl ``And.intro
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let pEq ← mkPatternFromDecl ``Eq.refl
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let e ← shareCommon (← getConstInfo ``ex).value!
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let some r₁ ← pEx.match? e | throwError "failed"
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logInfo <| mkAppN (mkConst ``Exists.intro r₁.us) r₁.args
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let some r₂ ← pAnd.match? (← inferType r₁.args[3]!) | throwError "failed"
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logInfo <| mkAppN (mkConst ``And.intro r₂.us) r₂.args
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let some r₃ ← pEq.unify? (← inferType r₂.args[3]!) | throwError "failed"
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logInfo <| mkAppN (mkConst ``Eq.refl r₃.us) r₃.args
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/--
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info: @Exists.intro Nat (fun x => And (p x) (@Eq Nat x Nat.zero)) ?m.1 ?m.2
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---
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info: @And.intro (p ?m.1) (@Eq Nat ?m.1 Nat.zero) ?m.3 ?m.4
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---
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info: @Eq.refl Nat Nat.zero
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-/
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#guard_msgs in
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set_option pp.explicit true in
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#eval SymM.run' test1
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def test2 : SymM Unit := do
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let ruleEx ← mkBackwardRuleFromDecl ``Exists.intro
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let ruleAnd ← mkBackwardRuleFromDecl ``And.intro
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let ruleRefl ← mkBackwardRuleFromDecl ``Eq.refl
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let rulePax ← mkBackwardRuleFromDecl ``pax
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let mvar ← mkFreshExprMVar (← getConstInfo ``ex).value!
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let goal ← Sym.mkGoal mvar.mvarId!
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let [goal, _] ← ruleEx.apply goal | throwError "Failed"
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let [goal₁, goal₂] ← ruleAnd.apply goal | throwError "Failed"
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let [] ← rulePax.apply goal₁ | throwError "Failed"
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let [] ← ruleRefl.apply goal₂ | throwError "Failed"
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logInfo mvar
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/--
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info: @Exists.intro Nat (fun x => And (p x) (@Eq Nat x Nat.zero)) Nat.zero
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(@And.intro (p Nat.zero) (@Eq Nat Nat.zero Nat.zero) (@pax Nat.zero) (@Eq.refl Nat Nat.zero))
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-/
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#guard_msgs in
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set_option pp.explicit true in
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#eval SymM.run' test2
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opaque a : Nat
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opaque bla : Nat → Nat → Nat
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opaque foo : Type → Nat → Nat
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axiom pFoo (x : Nat) : p (foo Prop (bla x 1))
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def test3 : SymM Unit := do
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withLetDecl `x (.sort 1) (.sort 0) fun x =>
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withLetDecl `y (mkConst ``Nat) (mkNatLit 1) fun y => do
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let target := mkApp (mkConst ``p) (mkApp2 (mkConst ``foo) x (mkApp2 (mkConst ``bla) (mkNatAdd (mkNatLit 3) y) y))
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let mvar ← mkFreshExprMVar target
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let goal ← Sym.mkGoal mvar.mvarId!
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let rule ← mkBackwardRuleFromDecl ``pFoo
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let [] ← rule.apply goal | throwError "failed"
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logInfo mvar
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#eval SymM.run' test3
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