no goals
m n k a b c : ℕ
hc0 : c = 0
⊢ a * (b / c) ≤ a * b / c
simp [hc0]
m n k a b c : ℕ
hc0 : ¬c = 0
⊢ a * (b / c * c) ≤ a * b
m n k a b c : ℕ
hc0 : ¬c = 0
⊢ a * (b / c) * c ≤ a * b
rw [mul_assoc]
no goals
m n k a b c : ℕ
hc0 : ¬c = 0
⊢ a * (b / c * c) ≤ a * b
exact Nat.mul_le_mul_left _ (Nat.div_mul_le_self _ _)