Theorems · Definition · category theory

CategoryTheory.Limits.IsLimit.ofWhiskerEquivalence

{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {K : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} K] →
        {C : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} C] →
            {F : CategoryTheory.Functor J C} →
              {s : CategoryTheory.Limits.Cone F} →
                (e : K ≌ J) →
                  CategoryTheory.Limits.IsLimit (CategoryTheory.Limits.Cone.whisker e.functor s) →
                    CategoryTheory.Limits.IsLimit s

If s : Cone F whiskered by an equivalence e is a limit cone, so is s.

Defined in

Mathlib.CategoryTheory.Limits.IsLimit

Cited by

2 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category