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What Mathematical Proofs are? In mathematics, a proof is called a chain of logical reasoning, showing that at some set of axioms and inference rules of a true statement. Depending on the context, may refer to the formal proof of (built by the special rules sequence of statements recorded in a formal language) or text in natural language, in which, if desired, you can restore a formal proof. Provable statements called theorems in mathematics (in mathematical texts usually means that someone found proof; exceptions to this custom is mainly composed of works on logic, ...