Euclid's Lemma/Proof 1
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Let $a, b, c \in \Z$.
Let $a \divides b c$, where $\divides$ denotes divisibility.
Let $a \perp b$, where $\perp$ denotes relative primeness.
Then $a \divides c$.
Follows directly from Integers are Euclidean Domain.
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Source of Name
This entry was named for Euclid.