Theorems · Definition · category theory

CategoryTheory.Limits.Cocone.functoriality

{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {C : Type u₃} →
      [inst_1 : CategoryTheory.Category.{v₃, u₃} C] →
        {D : Type u₄} →
          [inst_2 : CategoryTheory.Category.{v₄, u₄} D] →
            (F : CategoryTheory.Functor J C) →
              (G : CategoryTheory.Functor C D) →
                CategoryTheory.Functor (CategoryTheory.Limits.Cocone F) (CategoryTheory.Limits.Cocone (F.comp G))

A functor G : C ⥤ D sends cocones over F to cocones over F ⋙ G functorially.

Defined in

Mathlib.CategoryTheory.Limits.Cones

Cited by

21 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category