Exercise 2, § 6

Tag 03J0, permanent. Cite it as [Bourbaki, Tag 03J0].

Theory of Sets, II, 127

If G is a graph such that

\mathrm{G} \circ \overset{-1}{\mathrm{G}} \circ \mathrm{G} = \mathrm{G},

show that $\overset{-1}{\mathrm{G}} \circ \mathrm{G}$ and $\mathrm{G} \circ \overset{-1}{\mathrm{G}}$ are graphs of equivalences on $\mathrm{pr_1G}$ and $\mathrm{pr_2G}$ respectively.

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