reserve
  I for set,
  E for non empty set;

theorem Th2:
  for C being category, A being ObjectsFamily of {},C
  for B being Object of C st B is terminal holds
  ex P being MorphismsFamily of B,A st P is empty projection-morphisms
  proof
    let C be category;
    let A be ObjectsFamily of {},C;
    let B be Object of C;
    assume
A1: B is terminal;
    reconsider P = {} as MorphismsFamily of B,A by Th1;
    take P;
    thus P is empty;
    let X be Object of C, F be MorphismsFamily of X,A;
    assume F is feasible;
    consider f being Morphism of X,B such that
A2: f in <^X,B^> &
    for M1 being Morphism of X,B st M1 in <^X,B^> holds f = M1
    by A1,ALTCAT_3:27;
    take f;
    thus thesis by A2;
  end;
