reserve i, x, I for set,
  A, B, M for ManySortedSet of I,
  f, f1 for Function;
reserve SF, SG for SubsetFamily of M;

theorem Th7: :: MSSUBFAM:38
  A c= M implies {A} is SubsetFamily of M
proof
  assume A c= M;
  then A is ManySortedSubset of M by PBOOLE:def 18;
  then A in Bool M by Def1;
  hence thesis by ZFMISC_1:31;
end;
