if p then p!

When each of P and Q is a proposition, the conditional with antecedent P and consequent Q is denoted by P Q and is read “P implies Q” or “if P then Q.” By ...

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Definition. The converse of a conditional statement is obtained by transposing its conclusion with its premise. Converse of p → q is q → p. Example. Original ...

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Conditional Statements: 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 ...

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Two statements P and Q are said to be logically equivalent (or simply equivalent), denoted by P ⇐⇒ Q, if they have the same truth value. Definition 1.3. Let P ...

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Implication – Conditional Statement p → q (p implies q) (if p then q) is the proposition that is false when p is true and q is false and true otherwise.

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If p is a proposition, the negation of p, ¬p, has opposite truth value from p. If p is true, ¬p is false, if p is false, then ¬p is true. • If p and q ...

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That is, we read P → Q ( “P arrow Q”) as if P, then Q. But there ... • But the English forms P if Q and P only if Q are not equivalent.

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