set L = QLTLattice2 ;
reconsider z = 0 as Element of QLTLattice2 by ENUMSET1:def 1;
reconsider o = 1 as Element of QLTLattice2 by ENUMSET1:def 1;
reconsider dwa = 2 as Element of QLTLattice2 by ENUMSET1:def 1;
dwa "/\" (dwa "\/" o) = dwa "/\" z by QLTEx1Def
.= min (dwa,z) by QLTEx2Def
.= z by XXREAL_0:def 9 ;
hence not QLTLattice2 is join-absorbing by LATTICES:def 9; :: thesis: verum