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The law of simplification, also known as the principle of simplification, is a rule in propositional logic that states if a conjunction (A ∧ B) is true, then each of its components (A and B) must also be true. This means that from a true statement that combines two propositions, you can validly infer the truth of each individual proposition. For example, if "It is raining and it is cold" is true, you can conclude that "It is raining" is true and "It is cold" is true. This law is fundamental in logical reasoning and proofs.

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