Theorems · Theorem · category theory
CategoryTheory.Presheaf.IsSheaf.hom
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.GrothendieckTopology C} {A : Type u'}
[inst_1 : CategoryTheory.Category.{v', u'} A] (F G : CategoryTheory.Functor Cᵒᵖ A),
CategoryTheory.Presheaf.IsSheaf J G → CategoryTheory.Presheaf.IsSheaf J (CategoryTheory.presheafHom F G)- Defined in
- Mathlib.CategoryTheory.Sites.SheafHom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.Presheaf.IsSheafstatement and proof · cited by 991
- CategoryTheory.Sieveproof · cited by 552
- Nonempty.someproof · cited by 340
- CategoryTheory.Sieve.pullbackproof · cited by 126
- CategoryTheory.GrothendieckTopology.pullback_stableproof · cited by 36
- CategoryTheory.isSheaf_iff_isSheaf_of_typeproof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Presheaf.isSheaf_functorEnrichedHomproof · cited by 1