intro h
p : ℕ → ℕ
n : ℕ
ih : 0 < rec 1 (fun n ih => (p n).pos.and ih) n ↔ ∀ m < n, 0 < p m
⊢ (∀ m ≤ n, 0 < p m) → 0 < p n ∧ ∀ m < n, 0 < p m
p : ℕ → ℕ
n : ℕ
ih : 0 < rec 1 (fun n ih => (p n).pos.and ih) n ↔ ∀ m < n, 0 < p m
h : ∀ m ≤ n, 0 < p m
⊢ 0 < p n ∧ ∀ m < n, 0 < p m