Please explain stepwise.© BrainMass Inc. brainmass.com March 21, 2019, 9:35 pm ad1c9bdddf
The Order Axioms are listed here, for example: http://math.wikia.com/wiki/Real_number#Order_axioms
We will use the property of the field:
For any x, we have (-1)x=-x, the opposite of x.
Proof: x+(-1)x = 1x+(-1)x = (1-1)x = 0x = 0
By the Totality Axiom, either
a) x=0, but then xy = 0y = 0, ...
The Order Axioms are depicted.