StateImpBiGen

⊢ w ⊃ f ⇒ ⊢ w ⊃ f StateImpBiGen

Proof:

1
⊢ w ⊃ f
given
2
⊢ ¬f ⊃¬w
1,Prop
3
⊢ ¬f ⊃¬w
4
⊢ ¬w ≡¬w
5
⊢ ¬f ⊃¬w
3, 4,Prop
6
⊢ w ⊃¬¬f
5,Prop
7
⊢ w ⊃ f
6, def. of 

qed

Let us now consider the following valuable theorem:

2024-08-03
Contact | Home | ITL home | Course | Proofs | Algebra | FL
© 1996-2024