reserve
  I for set,
  E for non empty set;

theorem Th1:
  for C being non empty AltCatStr, o being Object of C
  for f being ObjectsFamily of {},C holds
  {} is MorphismsFamily of o,f
  proof
    let C be non empty AltCatStr, o be Object of C, f be ObjectsFamily of {},C;
    reconsider A = {} as {}-defined Relation;
    A is total;
    then reconsider A = {} as ManySortedSet of {};
    A is MorphismsFamily of o,f
    proof
      let i be object;
      thus thesis;
    end;
    hence thesis;
 end;
