Theorems · Definition · category theory

CategoryTheory.CostructuredArrow.ofCommaFstEquivalenceInverse

{T : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} T] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {C : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} C] →
            (F : CategoryTheory.Functor C T) →
              (G : CategoryTheory.Functor D T) →
                (c : C) →
                  CategoryTheory.Functor (CategoryTheory.Comma ((CategoryTheory.Over.forget c).comp F) G)
                    (CategoryTheory.CostructuredArrow (CategoryTheory.Comma.fst F G) c)

The inverse functor used to define the equivalence ofCommaFstEquivalence.

Defined in

Mathlib.CategoryTheory.Comma.Over.Basic

Cited by

10 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category