Example 3
Tag 01M6, permanent. Cite it as [Bourbaki, Tag 01M6].
Topologie algébrique, chapter I, § 1. Produits fibrés et carrés cartésiens
In order that a continuous homomorphism of one topological group into another be a strict morphism (TG, III, p. 16, def. 1), it is necessary and sufficient that it be a strict mapping in the sense of Definition 5.
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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