Bourbaki

Example 2

Tag 02J4, permanent. Cite it as [Bourbaki, Tag 02J4].

Théories spectrales, chapter II, § 1. Transformation de Fourier

Let g:G→Kg: G\rightarrow K be a strict surjective morphism. The sequence

1→1\rightarrow Ker(gg)⟶jG⟶gK→1\overset{j}{\longrightarrow}G\overset{g}{\longrightarrow}K\rightarrow 1,

where jj is the inclusion, is exact

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

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Cites

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Machine translation of the English, by gpt-5.4, gpt-5-6-mini, against glossary version 34. Not checked by a person. That model is a cut down version of the one the rest of this language was written by.