Theorems · Theorem · category theory

CategoryTheory.Adjunction.isIso_counit_app_of_iso

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {L : CategoryTheory.Functor C D} {R : CategoryTheory.Functor D C} (h : L ⊣ R) [L.Faithful] [L.Full] {X : D} {Y : C}
  (e : X ≅ L.obj Y), CategoryTheory.IsIso (h.counit.app X)

Defined in

Mathlib.CategoryTheory.Adjunction.FullyFaithful

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.FaithfulCategoryTheory.Functor.Full