theorem Th93:
  A,carr H1 are_conjugated implies
  ex H2 being strict Subgroup of G st the carrier of H2 = A
proof
  assume A,carr H1 are_conjugated;
  then consider g such that
A1: A = carr H1 * g;
  A = the carrier of H1 * g by A1,Def6A;
  hence thesis;
end;
