BfMoreImpNLoneEqvMoreImpNLone

⊢ (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
3, 4,EqvChain
6
(more ⊃ T) ≡¬(more ∧¬T)
1, 5,Prop
7
¬(more ∧¬T) ≡more ⊃ T
8
(more ⊃ T) ≡more ⊃ T
6, 7,EqvChain

qed

2024-08-03
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