Lemma 114.21.1. Let $(A, \mathfrak m, \kappa )$ be a Noetherian local ring. The category of Algebraization of Formal Spaces, Equation (18.104.22.168) for $A$ is equivalent to the category Algebraization of Formal Spaces, Equation (22.214.171.124) for the henselization $A^ h$ of $A$.
Proof. This is a special case of Algebraization of Formal Spaces, Lemma 87.30.3. $\square$
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