Discrete Mathematics-Properties of Lattices

Order Relations and Structures
Properties of Lattices

Theorem
Let L be a Lattice. Then for every a and b in L
(a) a V b = b if and only if a <, or = b
(b) a &#923; b = a if and only if a <, or = b
(c) a &#923; b = a if and only if a V b = b

Solution Summary

This solution is comprised of a detailed explanation for the Properties of Lattices.
It contains step-by-step explanation to show that if L is a Lattice, then for every a and b in L
(a) a V b = b if and only if a <, or = b
(b) a &#923; b = a if and only if a <, or = b
(c) a &#923; b = a if and only if a V b = b.
Solution contains detailed step-by-step explanation.