How do I verify that R={(1,1). (2,2), (3,3) (3,2) (3,1), (2,1)} is an order relation on {1,2,3}.(adsbygoogle = window.adsbygoogle || []).push({});

So far, I have that an ordered set is a pair (X, <) where X is a set tand where < in a binary relation on X so that the following three properties are fulfilled:

1. reflexive prop

2. anti-symmetric prop

3. transitive prop

Do I have to prove each property for R?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Order Relation

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**