Theorems · Theorem · category theory
CategoryTheory.Comma.costructuredArrowSndAdjunction_counit_app
∀ {A : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} A] {B : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} B]
{T : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} T] (L : CategoryTheory.Functor A T)
(R : CategoryTheory.Functor B T) (b : B) (X : CategoryTheory.CostructuredArrow L (R.obj b)),
(CategoryTheory.Comma.costructuredArrowSndAdjunction L R b).counit.app X =
CategoryTheory.CostructuredArrow.homMk (CategoryTheory.CategoryStruct.id X.left) ⋯- Cited by
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- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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- 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.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Commastatement · cited by 566
- CategoryTheory.CostructuredArrowstatement and proof · cited by 536
- CategoryTheory.Adjunction.counitstatement and proof · cited by 376
- CategoryTheory.CostructuredArrow.leftstatement · cited by 202
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