cases hk_two with
| intro m hm =>
  simp [Nat.add_one] at hm
  simp [hm] at *
  apply odd_prime _ hk_prime h_ind
case ind.inl.inr
p : ℕ → Prop
zero : p 0
two : p 2
not_prime : ∀ (n : ℕ), ¬Nat.Prime (Nat.succ n) → (∀ (x : ℕ), x ≤ n → p x) → p (Nat.succ n)
odd_prime : ∀ (n : ℕ), Nat.Prime (Nat.succ (2 * n)) → (∀ (x : ℕ), x ≤ 2 * n → p x) → p (Nat.succ (2 * n))
k : ℕ
h_ind : ∀ (m : ℕ), m ≤ k → p m
hk_prime : Nat.Prime (Nat.succ k)
hk_two : Odd (Nat.succ k)
⊢ p (Nat.succ k)
no goals