| ⊢ (more ⊃ T) ≡more ⊃ T | BfMoreImpNLoneEqvMoreImpNLone | 
Proof:
| 1 |  (more  ⊃ T) ≡¬¬(more  ⊃ T) | def. of                                    | 
| 2  | ¬(more  ⊃ T) ≡more ∧¬T       | |
| 3  |  ¬(more  ⊃ T) ≡ (more ∧¬T)    | |
| 4  |  (more ∧¬T) ≡more ∧¬T        | |
| 5  |  ¬(more  ⊃ T) ≡more ∧¬T      | |
| 6  |  (more  ⊃ T) ≡¬(more ∧¬T)     | |
| 7  | ¬(more ∧¬T) ≡more  ⊃ T       | |
| 8  |  (more  ⊃ T) ≡more  ⊃ T        | 
qed