Lemma 115.22.1. Let $(A, \mathfrak m, \kappa )$ be a Noetherian local ring. The category of Algebraization of Formal Spaces, Equation (88.30.0.1) for $A$ is equivalent to the category Algebraization of Formal Spaces, Equation (88.30.0.1) for the henselization $A^ h$ of $A$.

**Proof.**
This is a special case of Algebraization of Formal Spaces, Lemma 88.30.3.
$\square$

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