 reserve I for non empty set;
 reserve i for Element of I;
 reserve F for Group-Family of I;
 reserve G for Group;
reserve S for Subgroup-Family of F;
reserve f for Homomorphism-Family of G, F;

theorem ThMinorAnnoyance:
  for G being Group
  for H being Subgroup of G
  st H is normal Subgroup of (Omega).G
  holds H is normal Subgroup of G
proof
  let G be Group;
  let H be Subgroup of G;
  assume Z1: H is normal Subgroup of (Omega).G;
  G is Subgroup of (Omega).G by ThGSubOmega;
  hence thesis by Z1, GROUP_6:8;
end;
