lean4-htt/tests/elab/716.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +00:00

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private def eqv (p₁ p₂ : α × α) : Prop :=
(p₁.1 = p₂.1 ∧ p₁.2 = p₂.2) (p₁.1 = p₂.2 ∧ p₁.2 = p₂.1)
infix:50 " ~ " => eqv
axiom eqv.refl {α} (p : α × α) : p ~ p
axiom eqv.symm {α} : ∀ {p₁ p₂ : α × α}, p₁ ~ p₂ → p₂ ~ p₁
axiom eqv.trans {α} : ∀ {p₁ p₂ p₃ : α × α}, p₁ ~ p₂ → p₂ ~ p₃ → p₁ ~ p₃
private theorem is_equivalence : Equivalence (@eqv α) :=
{ refl := eqv.refl, symm := eqv.symm, trans := eqv.trans }
instance uprodSetoid (α : Type u) : Setoid (α × α) where
r := eqv
iseqv := is_equivalence
def UProd (α : Type u) : Type u :=
Quotient (uprodSetoid α)
namespace UProd
@[noinline] def myId := @id
def mk' {α : Type} : α × α → UProd α :=
let f := @Quot.mk _ _
myId f