Corollary

Tag 0DST, permanent. Cite it as [Bourbaki, Tag 0DST].

Algebra, chapter X, § 2. Complexes de A-modules

If $\mathscr{C}$ is stable and $C$ is bounded of type $\mathscr{C}$ , the graded module $H(C)$ is bounded of type $\mathscr{C}$ and one has $\chi(H(C)) = \chi(C)$ .

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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Cites

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