Item 1 (01EN) — 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`

The Colimit. The set $A\mathbin {\textstyle \coprod _{C}}B$ defined by
\[ A\mathbin {\textstyle \coprod _{C}}B\mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}A\mathchoice {\mathbin {\textstyle \coprod }}{\mathbin {\textstyle \coprod }}{\mathbin {\scriptstyle \textstyle \coprod }}{\mathbin {\scriptscriptstyle \textstyle \coprod }}B/\mathord {\sim }_{C}, \]

where $\mathord {\sim }_{C}$ is the equivalence relation on $A\mathchoice {\mathbin {\textstyle \coprod }}{\mathbin {\textstyle \coprod }}{\mathbin {\scriptstyle \textstyle \coprod }}{\mathbin {\scriptscriptstyle \textstyle \coprod }}B$ generated by $\webleft (0,f\webleft (c\webright )\webright )\sim _{C}\webleft (1,g\webleft (c\webright )\webright )$.

Noticed something off, or have any comments? Feel free to reach out!

You can also use the contact form below: