have h5 : 1 ≤ m := succ_le_iff.mpr h2.m_pos
case h
N n m : ℕ
h1 : ∀ m < 1, ∀ (m_1 : ℕ), NatPredicate N m_1 m → ∃ k, m_1 = k.fib ∧ m = (k + 1).fib
h2 : NatPredicate N m 1
h3 : m ≤ 1
⊢ m = fib 1 ∧ 1 = (1 + 1).fib
case h
N n m : ℕ
h1 : ∀ m < 1, ∀ (m_1 : ℕ), NatPredicate N m_1 m → ∃ k, m_1 = k.fib ∧ m = (k + 1).fib
h2 : NatPredicate N m 1
h3 : m ≤ 1
h5 : 1 ≤ m
⊢ m = fib 1 ∧ 1 = (1 + 1).fib