# 用关联层算上同调　`prop.cohomology-via-associated-sheaf`
命题：$\mathrm{R}\Gamma(X, M^{\bullet}) = \mathrm{R}\Gamma(\underline{X}, M^{\bullet})$
layer 18 · 命题 · 层上同调 · 同调代数
[在星图里打开](../#n=prop.cohomology-via-associated-sheaf)　·　[节点索引](../index.md)

设 $X \in \mathcal{C}$、$\underline{X} = h_{X}^{\#}$ 是它的**关联层**。则
> 陈述续见 [nodes/prop.cohomology-via-associated-sheaf.2.md](./prop.cohomology-via-associated-sheaf.2.md)


## 为什么成立（入边，证明在 proofs/）
- …另有入边，续页见 [nodes/prop.cohomology-via-associated-sheaf.3.md](./prop.cohomology-via-associated-sheaf.3.md)

refs: Le Stum, An introduction to condensed mathematics, Exercise 7.36

> 说明见 `notes/prop.cohomology-via-associated-sheaf.md`

引用：`prop.cohomology-via-associated-sheaf`（内容 v0.9.0）· 条款见 [LICENSE.txt](../LICENSE.txt)