let R be CLatAugmentation of L; :: thesis: not R is empty
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;
hence not R is empty ; :: thesis: verum