Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftLift.whisker

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

Whisker a 1-morphism to a lift. `` b ◹ | lift / | △ / | f | unit / ▽ x - - - ▷ c - - - ▷ a h g ``

Defined in

Mathlib.CategoryTheory.Bicategory.Extension

Cited by

15 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Bicategory