fact: Definition total_pb_cone_help_cone {x y z : total_bicat D} {f : x --> z} {g : y --> z} (q : pb_cone f g) : pb_cone (pr1 f) (pr1 g) := make_pb_cone _ (pr1 (pb_cone_pr1 q)) (pr1 (pb_cone_pr2 q)) (make_invertible_2cell (pr1_invertible_2cell_total _ (pb_cone_cell q))).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.DisplayedCats.Core UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.DisplayedBicats.DispInvertibles UniMath.Bicategories.DisplayedBicats.Examples.EndoMap UniMath.Bicategories.DisplayedBicats.Examples.MonadsLax UniMath.Bicategories.Limits.Final UniMath.Bicategories.Limits.Products UniMath.Bicategories.Limits.Pullbacks UniMath.Bicategories.Limits.EilenbergMooreObjects UniMath.Bicategories.Monads.Examples.MonadsInTotalBicat UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.PseudoFunctors.Examples.MonadInclusion