Theorems · Theorem · category theory

CategoryTheory.Limits.whiskeringLimYonedaIsoCones_inv_app_app_hom_apply

∀ (J : Type v) [inst : CategoryTheory.SmallCategory J] (C : Type u) [inst_1 : CategoryTheory.Category.{v, u} C]
  (X : CategoryTheory.Functor J C) (X_1 : Cᵒᵖ) (t : (CategoryTheory.Functor.const J).obj (Opposite.unop X_1) ⟶ X),
  (CategoryTheory.ConcreteCategory.hom (((CategoryTheory.Limits.whiskeringLimYonedaIsoCones J C).inv.app X).app X_1))
      t =
    (CategoryTheory.ConcreteCategory.hom
        (CategoryTheory.Limits.limit.lift (X.comp (CategoryTheory.coyoneda.obj X_1))
          (CategoryTheory.Limits.Types.coneOfSection ⋯)))
      PUnit.unit

Defined in

Mathlib.CategoryTheory.Limits.Types.Yoneda

Cited by

0 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.SmallCategoryCategoryTheory.Category