let H be LTL-formula; :: thesis: ( 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 ) )
assume H is negative ; :: thesis: ( not H is atomic & not H is conjunctive & not H is disjunctive & not H is next & not H is Until & not H is Release )
then H . 1 = 0 by Lm3;
hence ( not H is atomic & not H is conjunctive & not H is disjunctive & not H is next & not H is Until & not H is Release ) by Lm4, Lm5, Lm6, Lm7, Lm8; :: thesis: verum