StateAndChopImport

⊢ w ∧ (f ; g) ⊃ (w ∧ f) ; g StateAndChopImport

Proof:

1
⊢ w ⊃ w
2
⊢ w ∧ (f ; g) ⊃ w ∧ (f ; g)
1,Prop
3
⊢ w ∧ (f ; g) ⊃ (w ∧ f) ; g
4
⊢ w ∧ (f ; g) ⊃ (w ∧ f) ; g
2, 3,ImpChain

qed

With this proved, we can easily combine it with theorem StateChopExportA to deduce the following equivalence:

2024-08-03
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