# Is the relation $\geq$ always a partial order for the real numbers and integers

I was looking at particular examples and I observed that they were always reflective, antisymmetric and transitive.

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And so are $\leq$, $=$. – copper.hat Dec 7 '12 at 17:09
@copper.hat I would think that equality "$=$" is not antisymmetric ;-) – dtldarek Dec 7 '12 at 17:26
I was trying to be discrete... – copper.hat Dec 7 '12 at 17:37

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.