# Question about ordered field axioms

1. Sep 13, 2009

### AxiomOfChoice

If you have $a > b$ and $c \geq d$, do you have $a + c > b + d$?

2. Sep 13, 2009

### Moo Of Doom

Yes you do, but it's a theorem about ordered fields, not an axiom (usually). You may try to prove it from the axioms.