Theorems · Definition · category theory

CategoryTheory.Oplax.StrongTrans.Modification.equivOplax

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.OplaxFunctor B C} →
          {η θ : F ⟶ G} →
            (CategoryTheory.Oplax.StrongTrans.toOplax η).Modification (CategoryTheory.Oplax.StrongTrans.toOplax θ) ≃
              CategoryTheory.Oplax.StrongTrans.Modification η θ

Modifications between strong transformations of oplax functors are equivalent to modifications between the underlying oplax transformations.

Defined in

Mathlib.CategoryTheory.Bicategory.Modification.Oplax

Cited by

2 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory