Theorems · Theorem · category theory
CategoryTheory.OverPresheafAux.YonedaCollection.yonedaEquivFst_eq
∀ {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)} {X : C}
(p : CategoryTheory.OverPresheafAux.YonedaCollection F X), p.yonedaEquivFst = CategoryTheory.yonedaEquiv p.fst- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Equivstatement · cited by 8,337
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.CostructuredArrowstatement and proof · cited by 536
- CategoryTheory.yonedastatement and proof · cited by 351
- CategoryTheory.yonedaEquivstatement · cited by 42
- CategoryTheory.OverPresheafAux.YonedaCollectionstatement and proof · cited by 24
- CategoryTheory.OverPresheafAux.YonedaCollection.fststatement · cited by 23
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