Theorems · Theorem · category theory

CategoryTheory.Functor.ranAdjunction_unit_app

∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] (L : CategoryTheory.Functor C D) {H : Type u_3}
  [inst_2 : CategoryTheory.Category.{v_3, u_3} H]
  [inst_3 : ∀ (F : CategoryTheory.Functor C H), L.HasRightKanExtension F] (G : CategoryTheory.Functor D H),
  (L.ranAdjunction H).unit.app G =
    (L.ran.obj (L.comp G)).liftOfIsRightKanExtension (L.ranCounit.app (L.comp G)) G
      (CategoryTheory.CategoryStruct.id (L.comp G))

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Adjunction

Cited by

0 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.HasRightKanExtension