reserve A,B,p,q,r for Element of LTLB_WFF,
  M for LTLModel,
  j,k,n for Element of NAT,
  i for Nat,
  X for Subset of LTLB_WFF,
  F for finite Subset of LTLB_WFF,
  f for FinSequence of LTLB_WFF,
  g for Function of LTLB_WFF,BOOLEAN,
  x,y,z for set,
  P,Q,R for PNPair;

theorem Th14: for X be non empty Subset of [:(LTLB_WFF **),(LTLB_WFF **):]
  st Q in X holds comp Q c= comp X
  proof
    let X be non empty Subset of pairs;
    assume Q in X;
    then A1: comp Q in {comp T where T is PNPair: T in X};
    let x be object;
    assume x in comp Q;
    hence thesis by A1,TARSKI:def 4;
  end;
