theorem Th48: :: MODELC_3:48

for v being LTL-formula
for w being Element of Inf_seq AtomicFamily
for f being Function of (LTLNodes v),(LTLNodes v) st f is_succ_homomorphism v,w holds
for x being set st x in LTLNodes v & not CastNode (x,v) is elementary & w |= * (CastNode (x,v)) holds
for k being Nat st ( for i being Nat st i <= k holds
not CastNode (((f |** i) . x),v) is elementary ) holds
( CastNode (((f |** (k + 1)) . x),v) is_succ_of CastNode (((f |** k) . x),v) & w |= * (CastNode (((f |** k) . x),v)) )