Thread: [SOLVED] Proof regarding maximums and minimums of ordered sets

Let U be an ordered set.

Prove the following:
The minimum of U, if it exists, is unique. The maximum of U, if it exists, is unique.

Any advice? Thanks in advance.

Hello jzellt

Originally Posted by jzellt

Let U be an ordered set.

Prove the following:
The minimum of U, if it exists, is unique. The maximum of U, if it exists, is unique.

Any advice? Thanks in advance.

Let and be two minima of . Then







Same with maxima.

Grandad