next =>
  split
  next => rfl
  next => rfl
case isFalse
α : Type u_1
inst : LT α
inst✝¹ : DecidableRel fun x x_1 => x < x_1
inst✝ : Asymmetric fun x x_1 => x < x_1
x y : α
h✝ : ¬x < y
⊢ (if y < x then gt else eq).swap = if y < x then lt else eq
no goals