I was looking at particular examples and I observed that they were always reflective, antisymmetric and transitive.
Is the relation $\geq$ always a partial order for the real numbers and integers
1
$\begingroup$
discrete-mathematics
relations
-
0I was trying to be discrete... – 2012-12-07
1 Answers
2
Indeed, it is (if you're using the $\ge$ relation that I think you are). In fact, it's a total order, since comparability holds, as well.
-
0In particular, I was assuming the natural order o$f$ the real numbers induced the relation. That gives a (non-strict) total order. It also totally orders every subset o$f$ the reals, and so partially orders them. – 2012-12-08