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negation of p double implies q is... | Filo

negation of p double implies q is... | Filo

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SOLVED: Let P and Q propositions If we know that P implies which one of the following can we conclude? P cannot be false: P is true and Q is also true If Q is false. then P is false cannot be false. If P is false, then Q is false If Q is true then P is true At least one of P and Q( is true.

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SOLVED: Propositional logic: Rules of Inference or Method of Proof Tautology (Deduction Theorem) NameRule of InferenceP v (P v Q)AdditionP v QP ^ Q(Q ^ -P)Simplification[(P ^ P) ^ Q] -> (-Q)ConjunctionP ^ Q[(P) ^ (P v Q)] = (-Q)Modus PonensP -> [( Q) ^ (v Q)] = -PModus TollensP -> QQ -> RP -> R[(P -> Q) ^ (Q -> R)] v (P -> R)Hypothetical Syllogism ("chaining")P v Q[(P -> Q) ^ ( P)] = QDisjunctive SyllogismP v QA -> (P v R)Q v R[(P v Q) ^ ( P v R)] = (Q v R)Resolution

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