reserve i,j for Nat;

theorem Th10:
 for C being standardized ConstructorSignature holds
   Vars misses the carrier' of C
  proof let C be standardized ConstructorSignature;
   assume Vars meets the carrier' of C; then
   consider x being object such that
A1: x in Vars & x in the carrier' of C by XBOOLE_0:3;
   reconsider x as Element of Vars by A1;
   reconsider c = x as OperSymbol of C by A1;
   x = * or x = non_op or c is constructor; then
    x = * or x = non_op or x in Constructors & Vars misses Constructors
     by Th8,Def1;
   hence thesis by XBOOLE_0:3;
  end;
