Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftExtension.ofCompId

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

Construct a left extension of g : a ⟶ c from a left extension of g ≫ 𝟙 c.

Defined in

Mathlib.CategoryTheory.Bicategory.Extension

Cited by

6 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Bicategory