let X be Tolerance_Space; :: thesis: for a, b being Element of (RSLattice X) holds a "\/" b = b "\/" a
set G = RSLattice X;
let a, b be Element of (RSLattice X); :: thesis: a "\/" b = b "\/" a
reconsider a1 = a, b1 = b as Element of RoughSets X by Def23;
reconsider a9 = a1, b9 = b1 as RoughSet of X by Def20;
a "\/" b = a9 _\/_ b9 by Def23
.= b9 _\/_ a9
.= b "\/" a by Def23 ;
hence a "\/" b = b "\/" a ; :: thesis: verum