Question: Prove the absorption law from Proposition 2.7 (d) using logical equivalences that exploit de Morgan's law, double negation, and the absorption law from Proposition 2.7

Prove the absorption law from Proposition 2.7 (d) using logical equivalences

Prove the absorption law from Proposition 2.7 (d) using logical equivalences that exploit de Morgan's law, double negation, and the absorption law from Proposition 2.7 (c).

Proposition 2.7. Let A, B, and C be boolean formulas. We have (a) AA(BVC) (AAB) (AAC) conjunction distributes over disjunction (b) Av (BAC) E (Av B) A (AVC) (disjunction distributes over conjunction) (c) AA (A v B) A (absorption law for conjunction (d) A v (A A B) A (absorption law for disjunction)

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