reserve
  I for set,
  E for non empty set;

theorem Th3:
  for A being ObjectsFamily of I,EnsCat {{}}, o being Object of EnsCat {{}}
  holds I --> {} is MorphismsFamily of o,A
  proof
    let A be ObjectsFamily of I,C;
    let o be Object of C;
    let i be object such that
A1: i in I;
    reconsider I as non empty set by A1;
    reconsider j = i as Element of I by A1;
    reconsider A1 = A as ObjectsFamily of I,C;
    reconsider o1 = A1.j as Object of C;
    take o1;
    thus o1 = A.i;
    thus thesis by Lm3;
  end;
