What is the law of material implication?

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What is the law of material implication?

The law of material implication, also known as the principle of implication, is a fundamental principle in formal logic. It states that if a conditional statement is true and the antecedent (the "if" part) is true, then the consequent (the "then" part) must also be true. In other words, if P implies Q, and P is true, then Q must also be true. This principle is often represented symbolically as P → Q.