contravariant functor

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Description: 
{{category theory}} A functor which maps a function ''f'':''X'' &rarr; ''Y'' to a function ''F''(''f''):''F''(''Y'') &rarr; ''F''(''X''), such that if <math> h = g \circ f</math>, then <math> F(h) = F(f) \circ F(g)</math>.
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contravariant functor
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Wiktionary
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