Theorems · Theorem · category theory
CategoryTheory.Over.postAdjunctionRight_counit_app
∀ {T : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} T] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{Y : D} {F : CategoryTheory.Functor T D} {G : CategoryTheory.Functor D T} (a : F ⊣ G)
(A : CategoryTheory.Over ((CategoryTheory.Functor.id D).obj Y)),
(CategoryTheory.Over.postAdjunctionRight a).counit.app A = CategoryTheory.Over.homMk (a.counit.app A.left) ⋯- Defined in
- Mathlib.CategoryTheory.Comma.Over.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Functor.idstatement and proof · cited by 3,333
- CategoryTheory.Overstatement and proof · cited by 935
- CategoryTheory.Over.leftstatement · cited by 541
- CategoryTheory.Adjunctionstatement and proof · cited by 524
- CategoryTheory.Adjunction.counitstatement and proof · cited by 376
- CategoryTheory.Over.homMkstatement · cited by 115
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