Theorems · Theorem · category theory

CategoryTheory.CostructuredArrow.ofCommaFstEquivalence_unitIso

∀ {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.CostructuredArrow.ofCommaFstEquivalence F G c).unitIso =
    CategoryTheory.NatIso.ofComponents
      (fun x =>
        CategoryTheory.Iso.refl
          ((CategoryTheory.Functor.id (CategoryTheory.CostructuredArrow (CategoryTheory.Comma.fst F G) c)).obj x))
      ⋯

Defined in

Mathlib.CategoryTheory.Comma.Over.Basic

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category