Theorems · Theorem · category theory
CategoryTheory.GrothendieckTopology.uliftYonedaOpCompCoyoneda_inv_app_app
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.GrothendieckTopology C)
[inst_1 : J.Subcanonical] (X : Cᵒᵖ) (F : CategoryTheory.Sheaf J (Type (max v v')))
(s : ULift.{u, max v v'} (F.obj.obj X)),
(CategoryTheory.ConcreteCategory.hom ((J.uliftYonedaOpCompCoyoneda.inv.app X).app F)) s =
J.uliftYonedaEquiv.symm s.down- Cited by
- 0 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites29
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 and proof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Equivstatement · cited by 8,337
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Iso.invstatement · cited by 6,514
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- Equiv.symmstatement · cited by 3,681
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