MATHEMATICAL PROOF, It is a valid argument for the truth of a mathematical property., UNDEFINED TERM, It is a word/s that bear a primitive concept of the property., DEFINITION, It is an agreement on the meaning of a term., AXIOM, It is a true statement that is accepted without proof., POSTULATE, It is also a true statement that is accepted without proof., THEOREM, It is a true statement that requires a proof., CONJECTURE, It is a statement that is believed to be plausible, but a proof is not established yet., LEMMA, It is a theorem, with relatively lesser significance, whose proof is required to be established prior to a major theorem., COROLLARY, It is a theorem, with brief composition, that is a direct consequence of a another theorem..

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