Theorems · Theorem · category theory

CategoryTheory.IsVanKampenColimit.precompose_isIso_iff

∀ {J : Type v'} [inst : CategoryTheory.Category.{u', v'} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  {F G : CategoryTheory.Functor J C} (α : F ⟶ G) [CategoryTheory.IsIso α] {c : CategoryTheory.Limits.Cocone G},
  CategoryTheory.IsVanKampenColimit ((CategoryTheory.Limits.Cocone.precompose α).obj c) ↔
    CategoryTheory.IsVanKampenColimit c

Defined in

Mathlib.CategoryTheory.Limits.VanKampen

Cited by

4 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.IsIso