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we need to prove that For any integer a, one of the following holds: a<0 or...

we need to prove that For any integer a, one of the following holds: a<0 or 1=a or 1<a

using One and only one of the following is true: a < b, a = b, b < a (total ordering property).

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Here I'm using trichotomy property that is a and b be any two real numbers then either is always hold.if we put b=0 then we hold that one of the following is hold. That is .Thank you.

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