If and only if

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In [[logic]] the phrase '''if and only if''' means ''is logically equivalent to'', or ''is a [[necessary]] and [[sufficient]] condition for''.
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#REDIRECT [[Implication]] [[Category:Logic]]
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For any statements '''P''' and '''Q''',
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: '''P''' if and only if '''Q'''
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means the same thing as:
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: '''P''' [[implies]] '''Q''', and '''Q''' implies '''P'''.
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[[Category:Logic]]
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Latest revision as of 14:17, 15 January 2011

  1. REDIRECT Implication
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