Theorems · Theorem · category theory

CategoryTheory.Limits.preservesLimitsOfShape_of_equiv

∀ {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] {J' : Type w₂}
  [inst_3 : CategoryTheory.Category.{w₂', w₂} J'] (e : J ≌ J') (F : CategoryTheory.Functor C D)
  [CategoryTheory.Limits.PreservesLimitsOfShape J F], CategoryTheory.Limits.PreservesLimitsOfShape J' F

Transfer preservation of limits along an equivalence in the shape.

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Basic

Cited by

6 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.PreservesLimitsOfShape