Definition internal_isrefl_weq_internal_isrefl_mor {C : category} {x : C} (R : internal_relation x) : internal_isrefl R ≃ internal_isrefl_mor R. Proof. use weqimplimpl. - exact internal_isrefl_to_internal_isrefl_mor. - exact internal_isrefl_mor_to_internal_isrefl. - apply isaprop_internal_isrefl. - apply isaprop_internal_isrefl_mor. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Limits.Pullbacks. Require Import UniMath.CategoryTheory.Limits.Coequalizers. Require Import UniMath.CategoryTheory.RegularAndExact.RegularCategory.