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