| ⊢ | f ⊃ g, ⊢ f ; g ⊃ g ⇒ ⊢ f+ ⊃ g | ChopPlusElimWithoutMore | 
Proof:
| 1 | ⊢ f ⊃ g                 | given                       | 
| 2  | ⊢ f ; g ⊃ g              | given                       | 
| 3  | ⊢ (f ∧more) ; g ⊃ f ; g | |
| 4  | ⊢ (f ∧more) ; g ⊃ g    | |
| 5  | ⊢ f+ ⊃ g               | 
qed