fact: Definition is_disp_Equalizer {x y : C} {f g : x --> y} (e : Equalizer f g) {xx : D x} {yy : D y} {ff : xx -->[ f ] yy} {gg : xx -->[ g ] yy} (ee : D e) (ar_e : ee -->[ EqualizerArrow e ] xx) (pp : transportf (λ z, _ -->[ z ] _) (EqualizerEqAr e) (ar_e ;; ff) = ar_e ;; gg) : UU := ∏ (w : C) (ww : D w) (h : w --> x) (hh : ww -->[ h ] xx) (q : h · f = h · g) (qq : transportf (λ z, _ -->[ z ] _) q (hh ;; ff) = hh ;; gg), ∃! (ii : ww -->[ EqualizerIn e w h q ] ee), transportf (λ z, _ -->[ z ] _) (EqualizerCommutes e w h q) (ii ;; ar_e) = hh.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.Limits.Products UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total