Theorems · Theorem · category theory
CategoryTheory.sheafToPresheafCompYonedaCompWhiskeringLeftSheafToPresheaf_app_app
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {J : CategoryTheory.GrothendieckTopology C} {A : Type u₂}
[inst_1 : CategoryTheory.Category.{v₂, u₂} A] {X Y : CategoryTheory.Sheaf J A},
(CategoryTheory.sheafToPresheafCompYonedaCompWhiskeringLeftSheafToPresheaf.app X).app (Opposite.op Y) =
CategoryTheory.Sheaf.homEquiv.symm.toIso- Defined in
- Mathlib.CategoryTheory.Sites.Sheaf
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- 0 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- Equiv.symmstatement · cited by 3,681
- Opposite.unopstatement · cited by 2,231
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- CategoryTheory.Functor.opstatement · cited by 997
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