theorem Th30:
  [S,x] is quantifiable implies CQCSub_the_scope_of(CQCSub_All([S,
  x],xSQ)) = S & CQCQuant(CQCSub_All([S,x],xSQ),CQC_Sub(CQCSub_the_scope_of
  CQCSub_All([S,x],xSQ))) = CQCQuant(CQCSub_All([S,x],xSQ),CQC_Sub(S))
proof
  assume [S,x] is quantifiable;
  then CQCSub_the_scope_of(CQCSub_All([S,x],xSQ)) = [S,x]`1 by Th29;
  hence thesis;
end;
