intro n (ih : AA.OneOfThree (n < m) (n ≃ m) (n > m))
ℕ : Type
inst✝³ : Core ℕ
inst✝² : Induction ℕ
inst✝¹ : Addition ℕ
inst✝ : Sign ℕ
order_inst : Order ℕ
n m : ℕ
motive : ℕ → Prop := fun n => AA.OneOfThree (n < m) (n ≃ m) (n > m)
⊢ ∀ (m : ℕ), motive m → motive (step m)
ℕ : Type
inst✝³ : Core ℕ
inst✝² : Induction ℕ
inst✝¹ : Addition ℕ
inst✝ : Sign ℕ
order_inst : Order ℕ
n✝ m : ℕ
motive : ℕ → Prop := fun n => AA.OneOfThree (n < m) (n ≃ m) (n > m)
n : ℕ
ih : AA.OneOfThree (n < m) (n ≃ m) (n > m)
⊢ motive (step n)