let o, m be set ; for a, b, c, d being Object of (1Cat (o,m))
for f being Morphism of a,b
for g being Morphism of c,d holds f = g
let a, b, c, d be Object of (1Cat (o,m)); for f being Morphism of a,b
for g being Morphism of c,d holds f = g
let f be Morphism of a,b; for g being Morphism of c,d holds f = g
let g be Morphism of c,d; f = g
f = m
by TARSKI:def 1;
hence
f = g
by TARSKI:def 1; verum