Bourbaki

Exercice 3, § 4

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Théorie des ensembles, II, p. 50

Soient X,Y,Y′,ZX, Y, Y', Z quatre ensembles. Montrer que si Y∩Y′=∅Y \cap Y' = \varnothing, on a

(Y′×Z)∘(X×Y)=∅, et si Y∩Y′≠∅, on a (Y′×Z)∘(X×Y)=X×Z. (Y' \times Z) \circ (X \times Y) = \varnothing, \text{ et si } Y \cap Y' \neq \varnothing, \text{ on a } (Y' \times Z) \circ (X \times Y) = X \times Z.

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Transcribed from the printed volume. Not translated.