(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I was trying to prove trichotomy for natural numbers.

2. Relevant equations

[itex]n > m \Leftrightarrow \exists k \neq 0 (n = m + k)[/itex]

[itex]n < m \Leftrightarrow \exists k \neq 0 (m = n + k)[/itex]

Trichotomy means in a set

[itex] \forall n \forall m ( n = m \vee n> m \vee n<m) [/itex]

3. The attempt at a solution

I need an hint, a push in the right direction.

thank you :)

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# Homework Help: Trichotomy proof

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