Corollary
Tag 01MB, permanent. Cite it as [Bourbaki, Tag 01MB].
Topologie algébrique, chapter I, § 1. Produits fibrés et carrés cartésiens
A continuous mapping which is open, or proper, or which admits in a neighbourhood of every point a continuous section, is universally strict (prop. 8 and example 2).
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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