Item 1 (01TG) — The Clowder Project

Style	Class	Font	Theorem Environments
Style 1	`book`	Alegreya Sans	`tcbthm`
Style 2	`book`	Alegreya Sans	`amsthm`
Style 3	`book`	Arno*	`amsthm`
Style 4	`book`	Computer Modern	`amsthm`

As a Coequaliser. We have an isomorphism of sets
\[ X/\mathord {\sim }^{\mathrm{eq}}_{R}\cong \text{CoEq}\webleft (R\hookrightarrow X\times X\stackrel{\stackrel{\text{pr}_{1}}{\rightarrow }}{\stackrel{\rightarrow }{\scriptsize \text{pr}_{2}}}X\webright ), \]

where $\mathord {\sim }^{\mathrm{eq}}_{R}$ is the equivalence relation generated by $\mathord {\sim }_{R}$.

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