Exercise 17, § 1

Algebra, VI, p. 32

Let $x, y, z, t$ be elements of a semi-lattice ordered monoid $M$ such that $z \geq 0$ and $t \geq 0$ . Prove the inequality

\inf(x + z, y + t) + \inf(x, y) \geq \inf(x + z, y) + \inf(x, y + t)

Solution

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