Example 5

Tag 03TS, permanent. Cite it as [Bourbaki, Tag 03TS].

Theory of Sets, chapter II, § 6. Equivalence relations

Suppose $A \subset E$ ; then the relation

(x \in E - A \text{ and } y = x) \text{ or } (x \in A \text{ and } y \in A)

is an equivalence relation on E.

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.

Cited by

Nothing.

Cites

Nothing.