Lemma 85.11.4. Let $(A, \mathfrak m, \kappa )$ be a Noetherian local ring. Let $f : X \to S$ be an object of (85.11.0.1). Then there exists a $U$-admissible blowup $S' \to S$ which dominates $X$.

**Proof.**
Special case of More on Morphisms of Spaces, Lemma 73.39.4.
$\square$

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