Proposition 9.2.10.1.3 (01CL): Properties of Pseudoepic Morphisms

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Let $f\colon A\to B$ be a $1$-morphism of $\mathcal{C}$.

Characterisations. The following conditions are equivalent:
1. The morphism $f$ is pseudoepic.
2. The morphism $f$ is corepresentably full on cores and corepresentably faithful.
3. We have an isococomma square of the form
  in $\mathcal{C}$ up to equivalence.

Proof of Proposition 9.2.10.1.3.

Item 1: Characterisations

Omitted.

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