Question

Define the collection of intervals of the real number line C = {[n, n + 1)...

Define the collection of intervals of the real number line
C = {[n, n + 1) : n ∈ Z}

which contains [−1, 0), [0, 1), [1, 2), etc. Prove that C is a partition of R (the parts of the partition
are the intervals, which are sets of real numbers).

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