What is the law of implication?

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What is the law of implication?

The law of implication, also known as the law of logical implication or the principle of implication, is a fundamental principle in formal logic. It states that if a statement or proposition A implies another statement or proposition B, then whenever A is true, B must also be true. In other words, if A logically entails B, then the truth of A guarantees the truth of B. This principle is often symbolized as A → B, where the arrow represents implication.