by using well ordering property prove that if $x$ is a positive real number then there exist unique integer $p\ge0$ such that $p\le x<p+1$.
2026-03-25 19:04:37.1774465477
Prove that $p\le x<p+1$ by well ordering property
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Hint:
The set of positive integers $n$ with $x<n$ is not empty.
What conclusion can be drawn from this on base of the fact that $\mathbb N$ is well- ordered?