fact: Definition total2_fiber_path {A : UU} {B : A -> UU} {C : (∑ a, B a) -> UU} (a : A) (Ca : B a -> UU := λ b, C (a ,, b)) {b1 b2 : B a} (c1 : Ca b1) (c2 : Ca b2) (eb : b1 = b2) (ec : c1 = transportb C (two_arg_paths_b (idpath a) eb) c2) : c1 = transportb Ca eb c2.
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.MonoEpiIso UniMath.CategoryTheory.Categories.HSET.Univalence UniMath.CategoryTheory.Limits.Pullbacks UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Presheaf UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Fiber UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.Foundations.All