Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftExtension.whiskerIdCancel

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

Define a morphism between left extensions by cancelling the whiskered identities.

Defined in

Mathlib.CategoryTheory.Bicategory.Extension

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Bicategory