Theorems · Theorem · category theory

CategoryTheory.Limits.preservesLimit_of_iso_diagram

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {J : Type w} [inst_2 : CategoryTheory.Category.{w', w} J] {K₁ K₂ : CategoryTheory.Functor J C}
  (F : CategoryTheory.Functor C D) (h : K₁ ≅ K₂) [CategoryTheory.Limits.PreservesLimit K₁ F],
  CategoryTheory.Limits.PreservesLimit K₂ F

Transfer preservation of limits along a natural isomorphism in the diagram.

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Basic

Cited by

19 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.PreservesLimit