
theorem Th2:
  for C being with_triple-like_morphisms non void non empty CatStr,
  f being Morphism of C holds
  dom f = f`11 & cod f = f`12 & f = [[dom f, cod f], f`2]
proof
  let C be with_triple-like_morphisms non void non empty CatStr;
  let f be Morphism of C;
  ex x being set st ( f = [[dom f, cod f], x]) by Def1;
  hence thesis by MCART_1:85;
end;
