Content of Polynomial in Dedekind Domain is Multiplicative

Theorem

Let $R$ be a Dedekind domain.

Let $f, g \in R \sqbrk X$ be polynomials.

Let $\cont f$ denote the content of $f$.

Then $\cont {f g} = \cont f \cont g$ is the product of $\cont f$ and $\cont g$.

Proof

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