Let P D .X; / be a lattice and let m be an element of the lattice. Prove that m is

Chapter 59, Problem 59.6

(choose chapter or problem)

Let P D .X; / be a lattice and let m be an element of the lattice. Prove that m is maximum in P if and only if 8x 2 X; x _ m D m if and only if 8x 2 X; x ^ m D x. What is the analogous statement for a minimum element?

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