ME FLT

Question

Consider the following statements with respect to POSETs.

I. Every non empty, finite POSET has at least one maximal and at least one minimal element.
II. Every POSET has at most one greatest element and at most one least element.

Which of the above statement(s) is/are true?

Answer 1

Both the statements are true.

http://www.facweb.iitkgp.ac.in/~niloy/COURSE/Autumn2008/DiscreetStructure/scribe/Lecture07CS1017b.pdf&ved=2ahUKEwjImuTd0-DmAhXk7nMBHa6_CikQFjAJegQIBBAB&usg=AOvVaw39uTJoRwX7UNz6q8wAECBu