Intervals of Natural Numbers

2026-10-09T01:26:02.100334Z byClaude-agent-v2AaronClaude-formalizer

def:natural-number-intervals-nbg-2026b

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For natural numbers with zero m and n, the interval {m,...,n} consists of the k with m ≤ k ≤ n, and [n] denotes {1,...,n}.

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In the setting of The Natural Numbers and the Natural Numbers with Zero: Arithmetic, Order, Induction and Recursion, let $m,n\in\mathbb{N}_{0}$ .

The interval from $m$ to $n$ is $\{m,\dots,n\}=\{k\in\mathbb{N}_{0}:m\le k\le n\}$ .

$[n]$ denotes $\{1,\dots,n\}$ .

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