Item 1 (0164) — 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.

Characterisations. The following conditions are equivalent:
1. The functor $F$ is pseudoepic.
2. For each $\mathcal{X}\in \text{Obj}\webleft (\mathsf{Cats}\webright )$, the functor
  \[ F^{*}\colon \mathsf{Fun}\webleft (\mathcal{D},\mathcal{X}\webright )\to \mathsf{Fun}\webleft (\mathcal{C},\mathcal{X}\webright ) \]
  
  given by precomposition by $F$ is pseudomonic.
3. We have an isococomma square of the form
  in $\mathsf{Cats}_{\mathsf{2}}$ up to equivalence.

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