Theorems · Theorem · category theory

CategoryTheory.IsUniversalColimit.of_mapCocone

∀ {J : Type v'} [inst : CategoryTheory.Category.{u', v'} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  {D : Type u_2} [inst_2 : CategoryTheory.Category.{v_2, u_2} D] (G : CategoryTheory.Functor C D)
  {F : CategoryTheory.Functor J C} {c : CategoryTheory.Limits.Cocone F}
  [CategoryTheory.Limits.PreservesLimitsOfShape CategoryTheory.Limits.WalkingCospan G]
  [CategoryTheory.Limits.ReflectsColimitsOfShape J G],
  CategoryTheory.IsUniversalColimit (G.mapCocone c) → CategoryTheory.IsUniversalColimit c

Defined in

Mathlib.CategoryTheory.Limits.VanKampen

Cited by

0 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.PreservesLimitsOfShapeCategoryTheory.Limits.ReflectsColimitsOfShape