reserve A,B,C,D,p,q,r for Element of LTLB_WFF,
        F,G,X for Subset of LTLB_WFF,
        M for LTLModel,
        i,j,n for Element of NAT,
        f,f1,f2,g for FinSequence of LTLB_WFF;

theorem
  A in LTL0_axioms implies F |- A
  proof
    assume A in LTL0_axioms;then
    consider B such that
A1: A = 'G' B & B in LTL_axioms;
    F |- B by A1,LTLAXIO1:42;
    hence F|- A by A1,LTLAXIO1:54;
  end;
