Exercise 5, § 3

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

Theory of Sets, II, 124

Let A, B be two sets and let G be a graph. Show that

(\mathrm{A} \times \mathrm{B}) \circ \mathrm{G} = \overset{-1}{\mathrm{G}}\langle \mathrm{A}\rangle \times \mathrm{B} \qquad \text{and} \qquad \mathrm{G} \circ (\mathrm{A} \times \mathrm{B}) = \mathrm{A} \times \mathrm{G}\langle \mathrm{B}\rangle.

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