new (C ∨ A → A) → ((C → B ∧ E) → (((B → G) → B) → (H ∧ B → (H ∨ G → (C → (F ∧ E → ((F → B) → A ∧ F))))))) intro intro intro intro cases 3 intro intro intro cases 8 intro cases 3 cases 8 constructor apply 0 left exact 7 exact 9