m✝ n✝ k m n : ℕ
n0 : 0 < n
⊢ m / n < m / n + 1
m✝ n✝ k m n : ℕ
n0 : 0 < n
⊢ m < n * (m / n + 1)
rw [mul_comm, ← Nat.div_lt_iff_lt_mul' n0]
no goals
m✝ n✝ k m n : ℕ
n0 : 0 < n
⊢ m / n < m / n + 1
exact lt_succ_self _