lean4-htt/tests/elab/etaFirst.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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-- The following fails in the old elaborator
-- theorem tst1 : (fun a b => Nat.add a b) = Nat.add :=
-- Eq.refl (fun a b => Nat.add a b)
theorem tst2 : (fun a b => Nat.add a b) = Nat.add :=
Eq.refl (fun a b => Nat.add a b)
theorem tst3 : (fun a b => Nat.add a b) = Nat.add :=
rfl
theorem tst4 : Nat.add = (fun a b => Nat.add a b) :=
rfl
theorem tst5 : Nat.add = (fun (a b : Nat) => a + b) :=
rfl
theorem tst6 : Nat.add = (· + ·) :=
rfl
theorem tst7 : (· + ·) = Nat.add :=
rfl
theorem tst8 : (· + ·) = @Add.add Nat _ :=
rfl
theorem tst9 : (Nat.add · ·) = @Add.add Nat _ :=
rfl
axiom p : (Nat → Nat → Nat) → Prop
axiom pAdd : p Nat.add
theorem tst10 : p (fun a b => Nat.add a b) :=
pAdd