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 initial holds
  ex P being MorphismsFamily of A,B st P is empty coprojection-morphisms
  proof
    let C be category;
    let A be ObjectsFamily of {},C;
    let B be Object of C;
    assume
A1: B is initial;
    reconsider P = {} as MorphismsFamily of A,B by Th1;
    take P;
    thus P is empty;
    let X be Object of C, F be MorphismsFamily of A,X;
    assume F is feasible;
    consider f being Morphism of B,X such that
A2: f in <^B,X^> &
    for M1 being Morphism of B,X st M1 in <^B,X^> holds f = M1
    by A1,ALTCAT_3:25;
    take f;
    thus thesis by A2;
  end;
