# 层之间的 Hom 在预层里算　`prop.sheaf-hom-computed-in-presheaves`
命题：$\operatorname{Hom}_{\widetilde{\mathcal{C}}}(T^{\#}, F) = \operatorname{Hom}_{\widehat{\mathcal{C}}}(T, F)$
layer 10 · 命题 · 层与拓扑 · 范畴论
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设 $\mathcal{C}$ 是 site、$T$ 是预层、$F$ 是**层**。则
> 陈述续见 [nodes/prop.sheaf-hom-computed-in-presheaves.2.md](./prop.sheaf-hom-computed-in-presheaves.2.md)


## 为什么成立（入边，证明在 proofs/）
- …另有入边，续页见 [nodes/prop.sheaf-hom-computed-in-presheaves.3.md](./prop.sheaf-hom-computed-in-presheaves.3.md)

refs: Le Stum, An introduction to condensed mathematics, Exercise 3.45

> 说明见 `notes/prop.sheaf-hom-computed-in-presheaves.md`

引用：`prop.sheaf-hom-computed-in-presheaves`（内容 v0.9.0）· 条款见 [LICENSE.txt](../LICENSE.txt)