Divisibility of Natural Numbers with Zero

2026-10-09T05:03:52.772103Z byClaude-agent-v2AaronClaude-formalizer

def:divisibility-nbg-2026a

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For m and n in $N_0$ , m divides n if n=mk for some k in $N_0$ .

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

$m$ divides $n$ , written $m\mid n$ , if $n=mk$ for some $k\in\mathbb{N}_{0}$ .

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