# Prove the distributive laws for propositional logic: If P, Q and R are statements, then a) p∨ (Q ∧ R) ≡ (P ∨Q) ∧(P ∨R) b) p∧ (Q ∨ R) ≡ (P ∧Q) ∨(P∧ R).

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Prove the distributive laws for propositional logic:

If P, Q and R are statements, then

a) p∨ (Q ∧ R) ≡ (P ∨Q) ∧(P ∨R)

b) p∧ (Q ∨ R) ≡ (P ∧Q) ∨(P∧ R).

**Related Book For**

## Discrete and Combinatorial Mathematics An Applied Introduction

5th edition

Authors: Ralph P. Grimaldi

ISBN: 978-0201726343