lean4-htt/tests/lean/run/grind_issue_9187.lean
Leonardo de Moura 2bf4192ab7
fix: unexpected kernel projection issue in grind (#9193)
This PR fixes the unexpected kernel projection issue reported by issue
#9187

closes #9187
2025-07-04 17:17:40 +00:00

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Text

structure Cat (C : Type) where
hom : C → C → Type
comp {x y z : C} (f : hom x y) (g : hom y z) : hom x z
id x : hom x x
structure Foo {C D : Type} (ℭ₁ : Cat C) (ℭ₂ : Cat D) where
obj : C → D
variable {C D : Type} {ℭ₁ : Cat C} {ℭ₂ : Cat D}
structure Iso (x y : C) where
hom : ℭ₁.hom x y
inv : ℭ₁.hom y x
hom_inv_id : ℭ₁.comp hom inv = ℭ₁.id _
inv_hom_id : ℭ₁.comp hom inv = ℭ₁.id _
attribute [grind =] Iso.hom_inv_id Iso.inv_hom_id
#guard_msgs in -- Should not produce any issues
set_option trace.grind.issues true in
example (F G : Foo ℭ₁ ℭ₂) (e : ∀ (x : C), Iso (F.obj x) (G.obj x)) (x : C) :
ℭ₂.comp (e x).hom (e x).inv = ℭ₂.id _ := by
grind