reserve
  I for set,
  E for non empty set;
reserve A for ObjectsFamily of I,EnsCat E;

theorem
  Union coprod A in E implies EnsCatCoproductObj A is A-CatCoproduct-like
  proof
    assume
A1: Union coprod A in E;
    take EnsCatCoproduct A;
    thus thesis by A1,Th10;
end;
