reserve D,D9 for non empty set;
reserve R for Ring;
reserve G,H,S for non empty ModuleStr over R;
reserve UN for Universe;
reserve R for Ring;
reserve G, H for LeftMod of R;
reserve G1, G2, G3 for LeftMod of R;
reserve f for LModMorphismStr over R;
reserve a,b,c for Element of {0,1,2};

theorem
  the carrier of Z_3 in UN & the addF of Z_3 in UN & comp Z_3 in UN &
0.Z_3
  in UN & the multF of Z_3 in UN & 1.Z_3 in UN
proof
  thus the carrier of Z_3 in UN by Lm8;
  hence thesis by Lm9,ORDINAL1:10;
end;
