proposition: Proposition precomp_eq_from_coequalizer_cocone (a : enriched_coequalizer_cocone) (w : C) : precomp_arr E w (enriched_coequalizer_cocone_in a) · precomp_arr E w f = precomp_arr E w (enriched_coequalizer_cocone_in a) · precomp_arr E w g.
proof: Proof. rewrite <- !precomp_arr_comp. apply maponpaths. apply enriched_coequalizer_cocone_eq. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.EnrichedCats.Enrichment UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.Limits.Coequalizers