a b c : ℕ, H : c = b ⊢ ℕ a b c : ℕ, H : c = b, v : ℕ := ?m_1 ⊢ a + c = a + b ------------ a b c : ℕ, H : c = b, v : ℕ := a + b ⊢ a + c = a + b ------------ a c : ℕ, v : ℕ := a + c ⊢ a + c = a + c