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==Mathematical proof==
==Mathematical proof==
A mathematical proof is a step-by-step definition of the truth or falsity of a mathematical theorem.
A mathematical proof is a step-by-step demonstration of the truth or falsity of a mathematical theorem.
Proofs build on [[axiom | axioms]], which are statements that are assumed to be true without proof,
Proofs build on [[axiom | axioms]], which are statements that are assumed to be true without proof,
as well as previously-proved [[theorem | theorems]].
as well as previously-proved [[theorem | theorems]].