reserve i,k for Nat;
reserve A for QC-alphabet;
reserve x for bound_QC-variable of A;
reserve a for free_QC-variable of A;
reserve p,q for Element of QC-WFF(A);
reserve l for FinSequence of QC-variables(A);
reserve P,Q for QC-pred_symbol of A;
reserve V for non empty Subset of QC-variables(A);
reserve s,t for QC-symbol of A;

theorem Th44:
  Vars(All(x,p),V) = Vars(p,V)
proof
A1: All(x,p) is universal;
  then the_scope_of All(x,p) = p by QC_LANG1:def 28;
  hence thesis by A1,Lm2;
end;
