DfState

⊢ w ≡ w DfState

Proof for ⊃:

1
¬w ⊃ ¬w
2
¬w ⊃ ¬¬¬w
1, def. of 
3
¬¬w ⊃ w
2,Prop
4
w ⊃ ¬¬w
5
w ⊃ ¬¬w
6
w ⊃ w

qed

Proof for ⊂:

1
w ⊃ w
2
w ⊃ w
3
w ⊃ w

qed

2024-08-03
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