theorem Th29:
  B is quantifiable implies CQCSub_the_scope_of(CQCSub_All(B,SQ)) = B`1
proof
  assume
A1: B is quantifiable;
  then
A2: CQCSub_All(B,SQ) = Sub_All(B,SQ) by Def5;
  then CQCSub_All(B,SQ) is Sub_universal by A1,SUBSTUT1:14;
  then
  CQCSub_the_scope_of(CQCSub_All(B,SQ)) = Sub_the_scope_of(Sub_All(B,SQ))
  by A2,Def6;
  hence thesis by A1,SUBSTUT1:21;
end;
