reserve x,y,y1,y2 for set;
reserve G for Group;
reserve a,b,c,d,g,h for Element of G;
reserve A,B,C,D for Subset of G;
reserve H,H1,H2,H3 for Subgroup of G;
reserve n for Nat;
reserve i for Integer;
reserve L for Subset of Subgroups G;
reserve N2 for normal Subgroup of G;

theorem
  for G being strict Group holds Normalizer (Omega).G = G
proof
  let G be strict Group;
  (Omega).G is normal Subgroup of G by Th114;
  hence thesis by Th137;
end;
