Theorems · Theorem · category theory
CategoryTheory.OverPresheafAux.counitAux_hom
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {A : CategoryTheory.Functor Cᵒᵖ (Type v)}
(F : CategoryTheory.Functor (CategoryTheory.CostructuredArrow CategoryTheory.yoneda A)ᵒᵖ (Type v)),
(CategoryTheory.OverPresheafAux.counitAux F).hom =
{ app := fun X => TypeCat.ofHom (CategoryTheory.OverPresheafAux.counitForward F (Opposite.unop X)),
naturality := ⋯ }- Cited by
- 0 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites19
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
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- Opposite.unopstatement · cited by 2,231
- CategoryTheory.CostructuredArrowstatement and proof · cited by 536
- TypeCat.ofHomstatement · cited by 389
- CategoryTheory.yonedastatement and proof · cited by 351
- CategoryTheory.CostructuredArrow.leftstatement · cited by 202
- CategoryTheory.CostructuredArrow.homstatement · cited by 179
- CategoryTheory.NatTransstatement · cited by 82
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