Definition precategory_data_of_partial_setoids : precategory_data. Proof. use make_precategory_data. - exact precategory_ob_mor_of_partial_setoids. - exact id_partial_setoid_morphism. - exact (λ _ _ _ f g, partial_setoid_comp_morphism f g). Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Hyperdoctrines.Hyperdoctrine. Require Import UniMath.CategoryTheory.Hyperdoctrines.FirstOrderHyperdoctrine. Require Import UniMath.CategoryTheory.Hyperdoctrines.PartialEqRels.PERs. Require Import UniMath.CategoryTheory.Hyperdoctrines.PartialEqRels.PERMorphisms.