BfSkipImpAndNextImpAndSkipAndChop

⊢ (skip ⊃ f) ∧ g ⊃ (skip ∧ f) ⌢ g BfSkipImpAndNextImpAndSkipAndChop

Proof:

1
(skip ⊃ f) ∧ (skip ⌢ g) ⊃ ((skip ⊃ f) ∧skip) ⌢ g
2
(skip ⊃ f) ∧skip ⊃ skip ∧ f
3
((skip ⊃ f) ∧skip) ⌢ g ⊃ (skip ∧ f) ⌢ g
4
(skip ⊃ f) ∧ (skip ⌢ g) ⊃ (skip ∧ f) ⌢ g
1, 3,Prop
5
(skip ⊃ f) ∧ g ⊃ (skip ∧ f) ⌢ g
4, def. of 

qed

2024-08-03
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