| ⊢ | (g ⊃ g1) ⊃ (f ; g) ⊃ (f ; g1) | BoxChopImpChop | 
Proof:
| 1 | ⊢ f ⊃ f                                          | |
| 2  | ⊢  (f ⊃ f)                                               | |
| 3  | ⊢  (f  ⊃ f) ∧ (g  ⊃ g1) ⊃ (f ; g)  ⊃ (f ; g1) | |
| 4  | ⊢  (g  ⊃ g1) ⊃ (f ; g)  ⊃ (f ; g1)                 | 
qed