Wich of the following statement is NOT true in mathematics?
A corollary is a true mathematical statement that is proven mainly to help in the proof of any theorem
An axiom is indeed a mathematical statement accepted as true without proof, so this statement is correct.
A conjecture is indeed a statement believed to be true based on observation, for which a proof has not yet been established, so this statement is correct.
A theorem is indeed a mathematical statement that has been proved using axioms, definitions, and logical reasoning, so this statement is correct.
A corollary, however, is a statement that follows directly and easily as a consequence of an already-proved theorem; it is not itself proved mainly to help prove a theorem. A statement proved mainly to help prove a theorem is called a lemma, not a corollary.
Hence, the statement about the corollary is not true, since a corollary is a consequence of a proved theorem rather than a tool proven to help prove one.
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