reserve p,p1,p2,q,r,F,G,G1,G2,H,H1,H2 for ZF-formula,
  x,x1,x2,y,y1,y2,z,z1,z2,s,t for Variable,
  a,X for set;
reserve M for non empty set,
  m,m9 for Element of M,
  v,v9 for Function of VAR,M;
reserve i,j for Element of NAT;

theorem
  H is universal implies (M,v |= H iff for m holds M,v/(bound_in H,m) |=
  the_scope_of H)
proof
  assume H is universal;
  then H = All(bound_in H, the_scope_of H) by ZF_LANG:44;
  hence thesis by Th71;
end;
