let V be non empty set ; :: thesis: for C being Category
for a being Object of C st Hom C c= V holds
(hom?? (V,C)) -? a = hom-? (V,a)
let C be Category; :: thesis: for a being Object of C st Hom C c= V holds
(hom?? (V,C)) -? a = hom-? (V,a)
let a be Object of C; :: thesis: ( Hom C c= V implies (hom?? (V,C)) -? a = hom-? (V,a) )
assume A1: Hom C c= V ; :: thesis: (hom?? (V,C)) -? a = hom-? (V,a)
hence (hom?? (V,C)) -? a = (curry' (hom?? C)) . (id a) by Def26
.= hom-? a by Th56
.= hom-? (V,a) by A1, Def25 ;
:: thesis: verum