let C be Cocartesian_category; :: thesis: for a being Object of C holds Hom (([[0]] C),a) = {(init a)}
let a be Object of C; :: thesis: Hom (([[0]] C),a) = {(init a)}
for f2 being Morphism of [[0]] C,a holds init a = f2 by Th59;
hence Hom (([[0]] C),a) = {(init a)} by Th60, CAT_1:8; :: thesis: verum