Theorems · Theorem · category theory

CategoryTheory.Lax.StrongTrans.id_naturality_inv

∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {C : Type u₂} [inst_1 : CategoryTheory.Bicategory C]
  (F : CategoryTheory.LaxFunctor B C) {a b : B} (f : a ⟶ b),
  ((CategoryTheory.Lax.StrongTrans.id F).naturality f).inv =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.rightUnitor (F.map f)).hom
      (CategoryTheory.Bicategory.leftUnitor (F.map f)).inv

Defined in

Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Lax

Cited by

0 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory