BoxChopEqvChop

⊢ (g ≡ g1) ⊃ (f ⌢ g) ≡ (f ⌢ g1) BoxChopEqvChop

Proof:

1
(g ≡ g1) ≡ (g ⊃ g1) ∧ (g1 ⊃ g)
2
(g ⊃ g1) ⊃ (f ⌢ g) ⊃ (f ⌢ g1)
3
(g1 ⊃ g) ⊃ (f ⌢ g1) ⊃ (f ⌢ g)
4
(g ≡ g1) ⊃ (f ⌢ g) ≡ (f ⌢ g1)
2, 3,Prop

qed

The following derived variant of Inference Rule BfFGen omits the subformula finite:

2024-08-03
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