Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftExtension.whisker

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

Whisker a 1-morphism to an extension. `` b △ \ | \ extension △ f | \ | unit | ◿ a - - - ▷ c - - - ▷ x g h ``

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