# filtered colimits are exact　`prop.filtered-exact`
English entry · root `../`
[in graph](../#n=prop.filtered-exact)　·　[Chinese page (authoritative)](./prop.filtered-exact.md)

> English: **name only** · auto-derived from the source data; the Chinese page is authoritative.

layer 12 · proposition · cluster 伴随与反射 (`cat.adjoint`) · Category Theory

## Statement and proof
Chinese only — see the Chinese page `nodes/prop.filtered-exact.md` and `proofs/`.


Cite: `prop.filtered-exact` (content v0.9.0) · terms: [LICENSE.txt](../LICENSE.txt)