Theorems · Definition · category theory

CategoryTheory.Bicategory.Pith.pseudofunctorToPithCompInclusionStrongIsoHom

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {B' : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory B'] →
        [inst_2 : CategoryTheory.Bicategory.IsLocallyGroupoid B'] →
          (F : CategoryTheory.Pseudofunctor B' B) →
            ((CategoryTheory.Bicategory.Pith.pseudofunctorToPith F).comp
                  (CategoryTheory.Bicategory.Pith.inclusion B)).StrongTrans
              F

The hom direction of the (strong) natural isomorphism of pseudofunctors between (pseudofunctorToPith F).comp (inclusion B) and F.

Defined in

Mathlib.CategoryTheory.Bicategory.LocallyGroupoid

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.BicategoryCategoryTheory.Bicategory.IsLocallyGroupoid