let o, m be set ; for a, b being Object of (1Cat (o,m))
for f being Morphism of (1Cat (o,m)) holds f is Morphism of a,b
let a, b be Object of (1Cat (o,m)); for f being Morphism of (1Cat (o,m)) holds f is Morphism of a,b
let f be Morphism of (1Cat (o,m)); f is Morphism of a,b
f in Hom (a,b)
by Th9;
hence
f is Morphism of a,b
by Def3; verum