Definition internal_issymm_weq_internal_issymm_mor {C : category} {x : C} (R : internal_relation x) : internal_issymm R ≃ internal_issymm_mor R. Proof. use weqimplimpl. - exact internal_issymm_to_internal_issymm_mor. - exact internal_issymm_mor_to_internal_issymm. - apply isaprop_internal_issymm. - apply isaprop_internal_issymm_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.