Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftLift.whiskering

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    {a b c : B} →
      {f : b ⟶ a} →
        {g : c ⟶ a} →
          {x : B} →
            (h : x ⟶ c) →
              CategoryTheory.Functor (CategoryTheory.Bicategory.LeftLift f g)
                (CategoryTheory.Bicategory.LeftLift f (CategoryTheory.CategoryStruct.comp h g))

Whiskering a 1-morphism is a functor.

Defined in

Mathlib.CategoryTheory.Bicategory.Extension

Cited by

2 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Bicategory