Theorems · Theorem · category theory

CategoryTheory.IsVanKampenColimit.whiskerEquivalence_iff

∀ {J : Type v'} [inst : CategoryTheory.Category.{u', v'} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  {K : Type u_3} [inst_2 : CategoryTheory.Category.{v_3, u_3} K] (e : J ≌ K) {F : CategoryTheory.Functor K C}
  {c : CategoryTheory.Limits.Cocone F},
  CategoryTheory.IsVanKampenColimit (CategoryTheory.Limits.Cocone.whisker e.functor c) ↔
    CategoryTheory.IsVanKampenColimit c

Defined in

Mathlib.CategoryTheory.Limits.VanKampen

Cited by

2 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category