:: deftheorem Def4 defines RealSubLatt MSUALG_7:def 4 :
for r1, r2 being Real st r1 <= r2 holds
for b3 being strict Lattice holds
( b3 = RealSubLatt (r1,r2) iff ( the carrier of b3 = [.r1,r2.] & the L_join of b3 = maxreal || [.r1,r2.] & the L_meet of b3 = minreal || [.r1,r2.] ) );