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>> No.14878612 [View]
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14878612

How does Associative and Commutative Laws work when things are nested, in formal propositional logic?

Eg if i have: ((A v B) v C) v D

and i want: (A v D) to be together.

do i have to do:
((A v B) v C) v D Start
((B v A) v C) v D Com
(B v (A v C) v D Ass
(B v (C v A) v D Com
((B v C) v A) v D Ass
(B v C) v (A v D) Ass

Is the last Ass legal? I feel like i am breaking rules but dont know how else to get A out of the braces.

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