Bourbaki

Example

Tag 07BU, permanent. Cite it as [Bourbaki, Tag 07BU].

Topological Vector Spaces, chapter II, § 2. Convex sets

— On the space E=RAE = \mathbf{R}^A of all finite real-valued functions defined over A, the relation of order given by « for all t∈At \in A, x(t)⩽y(t)x(t) \leqslant y(t) » is compatible with the vector space structure of E.

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

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Cites

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Transcribed from the printed volume. Not translated.