$\mathcal{O}(X) \hookrightarrow \mathcal{O}(Y) \Rightarrow K(X) \cong K(Y)$

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Suppose $\mathcal{O}(X) \hookrightarrow \mathcal{O}(Y)$ for irreducible affine varieties $X$ and $Y$. How to show that $K(X) \cong K(Y)$?