Theorems · Theorem · category theory
CategoryTheory.Adjunction.ofNatIsoLeft_counit
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{F G : CategoryTheory.Functor C D} {H : CategoryTheory.Functor D C} (adj : F ⊣ H) (iso : F ≅ G),
(adj.ofNatIsoLeft iso).counit = CategoryTheory.CategoryStruct.comp (H.whiskerLeft iso.inv) adj.counit- Defined in
- Mathlib.CategoryTheory.Adjunction.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Iso.invstatement · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Adjunctionstatement and proof · cited by 524
- CategoryTheory.Functor.whiskerLeftstatement · cited by 496
- CategoryTheory.Adjunction.counitstatement and proof · cited by 376
- CategoryTheory.Adjunction.ofNatIsoLeftstatement and proof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Adjunction.homEquiv_ofNatIsoLeft_symm_applyproof · cited by 2