reserve k,n,m for Nat,
  a,x,X,Y for set,
  D,D1,D2,S for non empty set,
  p,q for FinSequence of NAT;
reserve F,F1,G,G1,H,H1,H2 for LTL-formula;
reserve sq,sq9 for FinSequence;
reserve L,L9 for FinSequence;
reserve j for Nat;
reserve j1 for Element of NAT;
reserve V for LTLModel;
reserve Kai for Function of atomic_LTL,the BasicAssign of V;
reserve f,f1,f2 for Function of LTL_WFF,the carrier of V;
reserve BASSIGN for non empty Subset of ModelSP(Inf_seq(S));
reserve t for Element of Inf_seq(S);
reserve f,g for Assign of Inf_seqModel(S,BASSIGN);
reserve r for Element of Inf_seq(AtomicFamily);
reserve W for Subset of LTL_WFF;

theorem
  (H is atomic implies (not H is negative) & (not H is conjunctive) & (
not H is disjunctive) & (not H is next) & (not H is Until) & not H is Release )
& (H is negative implies (not H is atomic) & (not H is conjunctive) & (not H is
disjunctive) & (not H is next) & (not H is Until) & not H is Release ) & (H is
  conjunctive implies (not H is atomic) & (not H is negative) & (not H is
disjunctive) & (not H is next) & (not H is Until) & not H is Release ) & (H is
  disjunctive implies (not H is atomic) & (not H is negative) & (not H is
conjunctive) & (not H is next) & (not H is Until) & not H is Release ) & (H is
next implies (not H is atomic) & (not H is negative) & (not H is conjunctive) &
  (not H is disjunctive) & (not H is Until) & not H is Release ) & (H is Until
implies (not H is atomic) & (not H is negative) & (not H is conjunctive) & (not
  H is disjunctive) & (not H is next) & not H is Release ) & (H is Release
implies (not H is atomic) & (not H is negative) & (not H is conjunctive) & (not
H is disjunctive) & (not H is next) & not H is Until ) by Lm16,Lm17,Lm18,Lm19
