fact: Definition comp_cat_is_pullback {C : comp_cat} {Γ₁ Γ₂ : C} (A : ty Γ₁) (s : Γ₂ --> Γ₁) : @isPullback C _ _ _ _ (π A) s (comprehension_functor_mor (comp_cat_comprehension C) (cleaving_of_types C _ _ s A)) (π (A [[ s ]])) (comprehension_functor_mor_comm (comp_cat_comprehension C) (cleaving_of_types C _ _ s A)) := cartesian_isPullback_in_cod_disp _ (cartesian_disp_functor_on_cartesian (comp_cat_comprehension C) (cleaving_of_types C _ _ s A)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.Fiber UniMath.CategoryTheory.DisplayedCats.Fibrations UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Codomain UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Preservation UniMath.CategoryTheory.Limits.Pullbacks UniMath.Bicategories.ComprehensionCat.BicatOfCompCat