reserve V, C, x, a, b for set;
reserve A, B for Element of SubstitutionSet (V, C);
reserve C for finite set;
reserve A, B for Element of SubstitutionSet (V, C);

theorem
  for C being finite set, A being Element of Fin PFuncs ({}, C) holds
  Involved A = {} by Th6,XBOOLE_1:3;
