split
n m : Nat
x✝ : n ≃ m
h✝ : ¬n < m
⊢ (if n = m then Ordering.eq else Ordering.gt) = Ordering.eq
case isTrue
n m : Nat
x✝ : n ≃ m
h✝¹ : ¬n < m
h✝ : n = m
⊢ Ordering.eq = Ordering.eq

case isFalse
n m : Nat
x✝ : n ≃ m
h✝¹ : ¬n < m
h✝ : ¬n = m
⊢ False