prove that ((P' + Q).(Q' +R)) +(P'+R) =1
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If p and q are statement variables, the conditional of q by p is "If p then q" or "p implies q" and is denoted p → q. It is false when p is true and q is false; otherwise it is true. We call p the hypothesis (or antecedent) of the conditional and q the conclusion (or consequent). Since columns corresponding to p∨(q∧r) and (p∨q)∧(p∨r) match, the propositions are logically equivalent. This particular equivalence is known as the Distributive Law.
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