Corollary 2

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

Assume that $B(C)$ and $H(C)$ are projective (resp. $B_n(C')$ and $H_n(C')$ are injective for every $n$ ). Then $\lambda(C, C')$ is bijective.

Indeed, $C$ (resp. $C'$ ) is then split, by X, p. 35, Example 4, and we apply Corollary 1.

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

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