Lemma 87.6.2 (0GXA)—The Stacks project

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Table of contents
Part 5: Topics in Geometry
Chapter 87: Formal Algebraic Spaces
Section 87.6: Adic ring maps
Lemma 87.6.2 (cite)

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Lemma 87.6.2. Let $A \to B$ and $B \to C$ be continuous homomorphisms of pre-adic rings. If $A \to B$ and $B \to C$ are adic, then $A \to C$ is adic.

Proof. Omitted. $\square$

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