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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]].