lean4-htt/tests/elab/listDecEq.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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def listL (a : List α) := if a = [] then 1 else 2
def listR (a : List α) := if [] = a then 1 else 2
/-- info: 1 -/
#guard_msgs in #eval @listL Nat []
/-- info: 2 -/
#guard_msgs in #eval listL [""]
/-- info: 1 -/
#guard_msgs in #eval @listL Nat []
/-- info: 2 -/
#guard_msgs in #eval listL [()]
-- test instance diamonds
example :
@List.instDecidableEqNil α [] = @List.instDecidableNilEq α [] := by
with_reducible_and_instances rfl
section
variable {α : Type u} [DecidableEq α]
example (x : List α) :
instDecidableEqList x [] = List.instDecidableEqNil x := by
with_reducible_and_instances rfl
example (x : List α) :
instDecidableEqList [] x = List.instDecidableNilEq x := by
with_reducible_and_instances rfl
end
-- List decidable equality using `withPtrEqDecEq`
def listDecEqAux {α} [s : DecidableEq α] : ∀ (as bs : List α), Decidable (as = bs)
| [], [] => isTrue rfl
| [], b::bs => isFalse $ fun h => List.noConfusion rfl (heq_of_eq h)
| a::as, [] => isFalse $ fun h => List.noConfusion rfl (heq_of_eq h)
| a::as, b::bs =>
match s a b with
| isTrue h₁ =>
match withPtrEqDecEq as bs (fun _ => listDecEqAux as bs) with
| isTrue h₂ => isTrue $ h₁ ▸ h₂ ▸ rfl
| isFalse h₂ => isFalse $ fun h => List.noConfusion rfl (heq_of_eq h) (fun _ h₃ => absurd (eq_of_heq h₃) h₂)
| isFalse h₁ => isFalse $ fun h => List.noConfusion rfl (heq_of_eq h) (fun h₂ _ => absurd (eq_of_heq h₂) h₁)
instance List.optimizedDecEq {α} [DecidableEq α] : DecidableEq (List α) :=
fun a b => withPtrEqDecEq a b (fun _ => listDecEqAux a b)