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## Definition: Nested Real Intervals

Let $(I_n)_{n\in\mathbb N}$ be a sequence of closed real intervals. The sequence members $I_n$ are called nested, if $I_{n+1}$ is a proper subset of $I_n$ for all $n\in\mathbb N$, formally $$I_{n+1}\subset I_n,\quad n\in\mathbb N.$$

| | | | | created: 2020-07-05 12:22:26 | modified: 2020-07-05 12:24:26 | by: bookofproofs | references: [581]