Theorems · Definition · category theory

CategoryTheory.CostructuredArrow.preEquivalence

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {E : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} E] →
            (F : CategoryTheory.Functor C D) →
              {G : CategoryTheory.Functor D E} →
                {e : E} →
                  (f : CategoryTheory.CostructuredArrow G e) →
                    CategoryTheory.CostructuredArrow (CategoryTheory.CostructuredArrow.pre F G e) f ≌
                      CategoryTheory.CostructuredArrow F f.left

A costructured arrow category on a CostructuredArrow.pre F G e functor is equivalent to the costructured arrow category on F

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

4 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category