proposition: Proposition coequalizer_from_reflexive_unique : isaprop (∑ φ, CoequalizerArrow coequalizers_from_reflexive_ob · φ = h).
proof: Proof. use invproofirrelevance. intros φ₁ φ₂. use subtypePath. { intro. apply homset_property. } use CoequalizerOutsEq. exact (pr2 φ₁ @ !(pr2 φ₂)). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Retracts