exact this
ℕ : Type
inst✝⁴ : Core ℕ
inst✝³ : Induction ℕ
inst✝² : Addition ℕ
inst✝¹ : Sign ℕ
order_inst : Order ℕ
inst✝ : Compare ℕ
ord : Ordering
n m k j : ℕ
x✝¹ : compare n m = Ordering.eq
x✝ : compare k j = Ordering.eq
this✝² : n ≃ m
this✝¹ : k ≃ j
this✝ : n + k ≃ m + j
this : compare (n + k) (m + j) = Ordering.eq
⊢ compare (n + k) (m + j) = Ordering.eq
no goals