TheoremBase

Divisibility of Integers

An integer m divides an integer n if n is an integer multiple of m.

Statement

In the setting of Routine Facts, Continued: Typed Arithmetic, Maps and Predicativity, let m,n∈Zm,n\in\mathbb{Z}.

Divisibility. mm divides nn, and mm is a divisor of nn, written m∣nm\mid n, if there is k∈Zk\in\mathbb{Z} with

n=km.n=km.

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