Lemma 14.19.4 (0185)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 14: Simplicial Methods
Section 14.19: Coskeleton functors
Lemma 14.19.4 (cite)

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Lemma 14.19.4. Let $\mathcal{C}$ be a category with finite limits. Let $U$ be an $n$ -truncated simplicial object of $\mathcal{C}$ . The morphism $\text{sk}_ n \text{cosk}_ n U \to U$ is an isomorphism.

Proof. Combine Lemmas 14.19.2 and 14.19.3. $\square$

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