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fix: process delayed assignment metavariables correctly in Lean.Meta.Closure
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Original file line number | Diff line number | Diff line change |
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import Lean | ||
/-! | ||
# Proper handling of delayed assignment metavariables in `match` elaboration | ||
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https://github.com/leanprover/lean4/issues/5925 | ||
https://github.com/leanprover/lean4/issues/6354 | ||
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These all had the error `(kernel) declaration has metavariables '_example'` | ||
due to underapplied delayed assignment metavariables never being instantiated. | ||
-/ | ||
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namespace Test1 | ||
/-! | ||
Simplified version of example from issue 6354. | ||
-/ | ||
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structure A where | ||
p: Prop | ||
q: True | ||
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example := (λ ⟨_,_⟩ ↦ True.intro : (A.mk (And True True) (by exact True.intro)).p → True) | ||
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end Test1 | ||
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namespace Test2 | ||
/-! | ||
Example from issue 6354 (by @roos-j) | ||
-/ | ||
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structure A where | ||
p: Prop | ||
q: True | ||
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structure B extends A where | ||
q': p → True | ||
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example: B where | ||
p := True ∧ True | ||
q := by exact True.intro | ||
q' := λ ⟨_,_⟩ ↦ True.intro | ||
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end Test2 | ||
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namespace Test3 | ||
/-! | ||
Example from issue 6354 (by @b-mehta) | ||
-/ | ||
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class Preorder (α : Type) extends LE α, LT α where | ||
le_refl : ∀ a : α, a ≤ a | ||
lt := fun a b => a ≤ b ∧ ¬b ≤ a | ||
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class PartialOrder (α : Type) extends Preorder α where | ||
le_antisymm : ∀ a b : α, a ≤ b → b ≤ a → a = b | ||
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inductive MyOrder : Nat × Nat → Nat × Nat → Prop | ||
| within {x u m : Nat} : x ≤ u → MyOrder (x, m) (u, m) | ||
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instance : PartialOrder (Nat × Nat) where | ||
le := MyOrder | ||
le_refl x := .within (Nat.le_refl _) | ||
le_antisymm | _, _, .within _, .within _ => Prod.ext (Nat.le_antisymm ‹_› ‹_›) rfl | ||
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end Test3 | ||
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namespace Test4 | ||
/-! | ||
Example from issue 5925 (by @Komyyy) | ||
-/ | ||
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def Injective (f : α → β) : Prop := | ||
∀ ⦃a₁ a₂⦄, f a₁ = f a₂ → a₁ = a₂ | ||
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axiom my_mul_right_injective {M₀ : Type} [Mul M₀] [Zero M₀] {a : M₀} (ha : a ≠ 0) : | ||
Injective fun (x : M₀) ↦ a * x | ||
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def mul2 : { f : Nat → Nat // Injective f } := ⟨fun x : Nat ↦ 2 * x, my_mul_right_injective nofun⟩ | ||
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end Test4 | ||
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namespace Test5 | ||
/-! | ||
Example from issue 5925 (by @mik-jozef) | ||
-/ | ||
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structure ValVar (D: Type) where | ||
d: D | ||
x: Nat | ||
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def Set (T : Type) := T → Prop | ||
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structure Salg where | ||
D: Type | ||
I: Nat | ||
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def natSalg: Salg := { D := Nat, I := 42 } | ||
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inductive HasMem (salg: Salg): Set (Set (ValVar salg.D)) | ||
| hasMem | ||
(set: Set (ValVar salg.D)) | ||
(isElem: set ⟨d, x⟩) | ||
: | ||
HasMem salg set | ||
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def valVarSet: Set (ValVar Nat) := | ||
fun ⟨d, x⟩ => x = 0 ∧ d = 0 ∧ d ∉ [] | ||
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-- Needed to add a unification hint to this test | ||
-- because of https://github.com/leanprover/lean4/pull/6024 | ||
unif_hint (s : Salg) where | ||
s =?= natSalg | ||
|- | ||
Salg.D s =?= Nat | ||
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def valVarSetHasMem: HasMem natSalg valVarSet := | ||
HasMem.hasMem | ||
valVarSet | ||
(show valVarSet _ from ⟨rfl, rfl, nofun⟩) | ||
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end Test5 |
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Have you considered other solutions that do not require eta-expansion for this issue, even if they apply only to special cases? If they are not worth pursuing, we should document that here.
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I couldn't think of any other solution @leodemoura, other than to relax the assumption on delayed assignment metavariables and have
instantiateMVars
itself do the eta expansion. This results in the same expression in the end, and it seems better to me to keepinstantiateMVars
simple.It did cross my mind that I could try matching on the case where the delayed assignment metavariable is applied to fvars, but it wasn't clear to me that the added code complexity would be worth it. We would still need the eta expansion code path for correctness.
In another PR, I'm going to try to fix one of the main triggers of this bug, which comes from structure instance notation when there are autoParams and a structure that extends another structure. This won't eradicate the bug however.
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Let's add an extra comment documenting this decision.