Proposition 8

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

On a la suite exacte illimitée (8)

\cdots \longrightarrow H_n(C') \xrightarrow{H_n(u)} H_n(C) \xrightarrow{H_n(\pi)} H_n(\mathrm{Con}\,(u)) \xrightarrow{H_n(\delta)} H_{n-1}(C') \longrightarrow \cdots .

En effet, compte tenu du lemme 3, a), cela résulte du théorème 1 de X, p. 30, appliqué à la suite exacte (7).

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

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