AxiomOfChoice Messages 531 Reaction score 1 Thread starter Sep 13, 2009 #1 If you have [itex]a > b[/itex] and [itex]c \geq d[/itex], do you have [itex]a + c > b + d[/itex]?
Moo Of Doom Messages 365 Reaction score 1 Sep 13, 2009 #2 Yes you do, but it's a theorem about ordered fields, not an axiom (usually). You may try to prove it from the axioms.
Yes you do, but it's a theorem about ordered fields, not an axiom (usually). You may try to prove it from the axioms.