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A functor F : C D is said to be full, if whenever FX-> FY is an arrow in D, there exists an arrow

 

A functor F : C D is said to be full, if whenever FX-"> FY is an arrow in D, there exists an arrow X->Y in C such that u = Ff. Show that if F:C D is a faithful and full functor and FX Fk FY is an isomor- phism in D, then X -*-Y is an isomorphism in C

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