Theorems · Theorem · category theory
CategoryTheory.Adjunction.leftAdjointUniq_hom_counit
∀ {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] {F F' : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D C}
(adj1 : F ⊣ G) (adj2 : F' ⊣ G),
CategoryTheory.CategoryStruct.comp (G.whiskerLeft (adj1.leftAdjointUniq adj2).hom) adj2.counit = adj1.counit- Defined in
- Mathlib.CategoryTheory.Adjunction.Unique
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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 and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Adjunction.leftAdjointUniq_hom_app_counitproof · cited by 1
- CategoryTheory.Adjunction.leftAdjointUniq_hom_counit_assocproof · cited by 0