Item 2 (01P4) — The Clowder Project

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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`

*To be replaced with Linus Romer's Elemaints when it is released.

Compatibility With Strong Unitality Constraints. The diagrams
commute, i.e. we have
\begin{align*} \Delta _{\text{pt}} & = \lambda ^{\mathsf{Sets},-1}_{\text{pt}}\\ & = \rho ^{\mathsf{Sets},-1}_{\text{pt}}, \end{align*}

where we recall that the equalities

\begin{align*} \lambda ^{\mathsf{Sets}}_{\text{pt}} & = \rho ^{\mathsf{Sets}}_{\text{pt}},\\ \lambda ^{\mathsf{Sets},-1}_{\text{pt}} & = \rho ^{\mathsf{Sets},-1}_{\text{pt}}\end{align*}

are always true in any monoidal category by , of .

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