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Mathlib.CategoryTheory.Functor.RegularEpi

The category of type-valued sheaves is a regular epi category #

This file proves that when the target category D is a regular epi category (i.e. every epimorphism is regular) and has pushouts and kernel pairs of epimorphisms, the functor category C ⥤ D is a regular epi category. This is an instance that applies directly when D is Type*.