Theorems · Definition · category theory

CategoryTheory.Limits.Cocone.whisker

{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} →
              (E : CategoryTheory.Functor K J) →
                CategoryTheory.Limits.Cocone F → CategoryTheory.Limits.Cocone (E.comp F)

Whisker a cocone by precomposition of a functor. See whiskering for a functorial version.

Defined in

Mathlib.CategoryTheory.Limits.Cones

Cited by

40 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category