let H be CTL-formula; :: thesis: ( H is conjunctive implies ( not H is atomic & not H is negative & not H is ExistNext & not H is ExistGlobal & not H is ExistUntill ) )
assume H is conjunctive ; :: thesis: ( not H is atomic & not H is negative & not H is ExistNext & not H is ExistGlobal & not H is ExistUntill )
then H . 1 = 1 by Lm4;
hence ( not H is atomic & not H is negative & not H is ExistNext & not H is ExistGlobal & not H is ExistUntill ) by Lm3, Lm5, Lm6, Lm7, Lm8; :: thesis: verum