let o, m be set ; :: thesis: for a, b being Object of (c1Cat (o,m))
for f being Morphism of (c1Cat (o,m)) holds f in Hom (a,b)
let a, b be Object of (c1Cat (o,m)); :: thesis: for f being Morphism of (c1Cat (o,m)) holds f in Hom (a,b)
let f be Morphism of (c1Cat (o,m)); :: thesis: f in Hom (a,b)
cod f = o by TARSKI:def 1;
then A1: cod f = b by TARSKI:def 1;
dom f = o by TARSKI:def 1;
then dom f = a by TARSKI:def 1;
hence f in Hom (a,b) by A1; :: thesis: verum