let R be CLatAugmentation of L; :: thesis: R is with_Top
OrthoLattStr(# the carrier of L, the L_join of L, the L_meet of L, the Compl of L #) = OrthoLattStr(# the carrier of R, the L_join of R, the L_meet of R, the Compl of R #) by Def12;
then ComplLLattStr(# the carrier of L, the L_join of L, the Compl of L #) = ComplLLattStr(# the carrier of R, the L_join of R, the Compl of R #) ;
hence R is with_Top by Th19; :: thesis: verum