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In mathematics, implication refers to a logical relationship between two statements, often expressed as "If P, then Q" (symbolically written as ( P \implies Q )). This means that if statement P is true, then statement Q must also be true. However, if P is false, Q can be either true or false without affecting the truth of the implication. Implication is a foundational concept in logic, mathematics, and reasoning, forming the basis for proofs and theorem development.

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