Jump to content

Ordered field/Elementary properties/3/Fact/Proof/Exercise

From Wikiversity

Show that in an ordered field the following properties hold.

  1. .
  2. holds if and only if holds.
  3. holds if and only if holds.
  4. holds if and only if holds.
  5. and imply .
  6. and imply .
  7. and imply .
  8. and imply .
  9. and imply .
  10. and imply .