proposition: Lemma EqualizerCommutes {y z : C} {f g : y --> z} (E : Equalizer f g) (w : C) (h : w --> y) (H : h · f = h · g) : (EqualizerIn E w h H) · (EqualizerArrow E) = h.
proof: Proof. exact (pr2 (pr1 ((isEqualizer_Equalizer E) w h H))). Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Monics UniMath.CategoryTheory.Retracts