Theorems · Definition · category theory

CategoryTheory.Limits.Bicone.whiskerIsBilimitIff

{J : Type w} →
  {C : Type uC} →
    [inst : CategoryTheory.Category.{uC', uC} C] →
      [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
        {K : Type w'} →
          {f : J → C} → (c : CategoryTheory.Limits.Bicone f) → (g : K ≃ J) → (c.whisker g).IsBilimit ≃ c.IsBilimit

Whiskering a bicone with an equivalence between types preserves being a bilimit bicone.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Biproducts

Cited by

2 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms