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Author SHA1 Message Date
Kim Morrison
494b20c718 chore: add test for #10469 regression 2025-09-22 12:47:49 +02:00

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def Set' (α : Type) := α Prop
def Mem' {α} (s : Set' α) (a : α) : Prop :=
s a
instance {α} : Membership α (Set' α) :=
Mem'
def Subset' {α} (s₁ s₂ : Set' α) :=
a, a s₁ a s₂
instance {α} : LE (Set' α) :=
Subset'
instance {α} : HasSubset (Set' α) :=
(· ·)
theorem subset_def' {α} {s t : Set' α} : (s t) = x, x s x t :=
rfl
example {α γ} (f : α Nat Set' γ) (V : Set' γ) :
( i, ( a r, 0 < r i = f a r) id i V)
a r, 0 < r f a r V := by
grind only [= subset_def', = id.eq_1, cases Or]