Theorems · Theorem · category theory

CategoryTheory.Limits.colimitLimitIso.congr_simp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : Type u₁} [inst_1 : CategoryTheory.Category.{v₁, u₁} J]
  {K : Type u₂} [inst_2 : CategoryTheory.Category.{v₂, u₂} K] [inst_3 : CategoryTheory.Limits.HasLimitsOfShape J C]
  [inst_4 : CategoryTheory.Limits.HasColimitsOfShape K C]
  [inst_5 : CategoryTheory.Limits.PreservesLimitsOfShape J CategoryTheory.Limits.colim]
  (F : CategoryTheory.Functor J (CategoryTheory.Functor K C)),
  CategoryTheory.Limits.colimitLimitIso F = CategoryTheory.Limits.colimitLimitIso F

Defined in

Mathlib.CategoryTheory.Limits.FilteredColimitCommutesFiniteLimit

Cited by

0 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasLimitsOfShapeCategoryTheory.Limits.HasColimitsOfShapeCategoryTheory.Limits.PreservesLimitsOfShape