let H be LTL-formula; :: thesis: ( 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 ) )
assume H is disjunctive ; :: thesis: ( not H is atomic & not H is negative & not H is conjunctive & not H is next & not H is Until & not H is Release )
then H . 1 = 2 by Lm5;
hence ( not H is atomic & not H is negative & not H is conjunctive & not H is next & not H is Until & not H is Release ) by Lm3, Lm4, Lm6, Lm7, Lm8, Lm9; :: thesis: verum