Example 1

Tag 08KJ, permanent. Cite it as [Bourbaki, Tag 08KJ].

Integration, chapter II, § 2. Linear forms on a Riesz space

Let A be any set, E a linear subspace of the space $\mathbf{R}^A$ of all real-valued functions defined on A. For every element $a \in A$ , the mapping $x \mapsto x(a)$ is a positive linear form on E.

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

Cited by

Example 3, § 2

Cites

Nothing.