Proof (mathematics): Difference between revisions
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In [[mathematics]], a '''proof''' | |||
In [[mathematics]], a '''proof''' of a statement | |||
(called theorem, proposition, lemma, etc. according to the context and its importance) | |||
is a series of arguments which show that the assumptions of the statement imply its conclusion. | |||
Besides the assumptions listed explicitely in the statement to be proven, | |||
the arguments — which have to be based on inference rules of mathematical logic — | |||
may use the axioms of the theory and previously proven statements. | |||
Revision as of 20:08, 21 November 2009
In mathematics, a proof of a statement (called theorem, proposition, lemma, etc. according to the context and its importance) is a series of arguments which show that the assumptions of the statement imply its conclusion. Besides the assumptions listed explicitely in the statement to be proven, the arguments — which have to be based on inference rules of mathematical logic — may use the axioms of the theory and previously proven statements.