Theorems · Definition · category theory

CategoryTheory.Limits.Bicones.functoriality

{J : Type w} →
  {C : Type uC} →
    [inst : CategoryTheory.Category.{uC', uC} C] →
      [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
        {D : Type uD} →
          [inst_2 : CategoryTheory.Category.{uD', uD} D] →
            [inst_3 : CategoryTheory.Limits.HasZeroMorphisms D] →
              (F : J → C) →
                (G : CategoryTheory.Functor C D) →
                  [G.PreservesZeroMorphisms] →
                    CategoryTheory.Functor (CategoryTheory.Limits.Bicone F) (CategoryTheory.Limits.Bicone (G.obj ∘ F))

A functor G : C ⥤ D sends bicones over F to bicones over G.obj ∘ F functorially.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Biproducts

Cited by

5 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Functor.PreservesZeroMorphisms