lean4-htt/tests/elab/appIssue.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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instance {α : Type u} {β : Type v} [LE β] : LE (α → β) where
le f g := ∀ i, f i ≤ g i
class LE_trans (α : Type u) extends LE α where
le_trans : ∀ {a b c : α}, a ≤ b → b ≤ c → a ≤ c
export LE_trans (le_trans)
instance {α : Type u} {β : Type v} [LE_trans β] : LE_trans (α → β) where
le_trans h₁ h₂ i := le_trans (h₁ i) (h₂ i)
example {α β} [LE_trans β] (x y z : α → β) (h₀ : x ≤ y) (h₁ : y ≤ z) : x ≤ z := by
apply le_trans
assumption
assumption
example {α β} [LE_trans β] (x y z : α → β) (h₀ : x ≤ y) (h₁ : y ≤ z) : x ≤ z := by
apply le_trans <;> assumption