example of law of trichotomy on ¡

From the axiomatic definition of the real numbers, “<” is a relation on which satisfies the law of trichotomy. That is, for all a,b, exactly one of the following is true:

  • a<b

  • b<a

  • a=b

As an axiom, this is sometimes expressed with b=0. That is, for all a, a is either positive, negative, or zero.

Title example of law of trichotomy on ¡
Canonical name ExampleOfLawOfTrichotomyOn
Date of creation 2013-03-22 17:15:07
Last modified on 2013-03-22 17:15:07
Owner me_and (17092)
Last modified by me_and (17092)
Numerical id 5
Author me_and (17092)
Entry type Example
Classification msc 06A05
Classification msc 03E20