new D ∧ E → (((D → E) → F) → (((H → D) → D) → (((H → C) → E) → ((F → D ∧ I) → (C ∧ C → F) ∨ H)))) intro cases 0 intro intro intro intro cases 0 left intro cases 9 cases 0 cases 9 apply 3 intro cases 0 cases 9 exact 2