Bourbaki

Theorem 2

Tag 0879, permanent. Cite it as [Bourbaki, Tag 0879].

Functions of a Real Variable, chapter II, § 1. PRIMITIVES AND INTEGRALS

Every regulated function on an interval II admits a primitive on II.

We shall transform def. 3 of II, p. 4 to another equivalent one:

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

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Transcribed from the printed volume. Not translated.