Remark 1

Tag 06F0, permanent. Cite it as [Bourbaki, Tag 06F0].

The matrix $M(g, f, q, p)$ is obtained from $M(f, g, p, q)$ by $pq$ transpositions of columns, whence

\operatorname{res}_{q,p}(g, f) = (-1)^{pq} \operatorname{res}_{p,q}(f, g)

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

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