Lemma 10.36.15. Let $A \to B \to C$ be ring maps.

If $A \to C$ is integral so is $B \to C$.

If $A \to C$ is finite so is $B \to C$.

Lemma 10.36.15. Let $A \to B \to C$ be ring maps.

If $A \to C$ is integral so is $B \to C$.

If $A \to C$ is finite so is $B \to C$.

**Proof.**
Omitted.
$\square$

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