# Five Lemma　`thm.five-lemma`
English entry · root `../`
[in graph](../#n=thm.five-lemma)　·　[Chinese page (authoritative)](./thm.five-lemma.md)

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

layer 18 · lemma · cluster 加法与阿贝尔范畴 (`hom.ab`) · Homological Algebra
names: `five lemma` (short) · `Five Lemma` (full)

## Statement and proof
Chinese only — see the Chinese page `nodes/thm.five-lemma.md` and `proofs/`.


Cite: `thm.five-lemma` (content v0.9.0) · terms: [LICENSE.txt](../LICENSE.txt)