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Problem 86: (Uniqueness For The Floor Function)
Suppose that $x$ is a real number. We've shown that there exists an integer $m$ such that $m-1\leq x<m$. Prove that this integer $m$ is unique.
The previous problem build a relation between every real number and the integers. This problem proves that the relation is a function, which means we can now use the floor function $\lfloor x\rfloor$.
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