Theorems · Inductive type · category theory
CategoryTheory.Presieve.singleton
{C : Type u₁} → [inst : CategoryTheory.Category.{v₁, u₁} C] → {X Y : C} → (Y ⟶ X) → CategoryTheory.Presieve XThe singleton presieve.
- Defined in
- Mathlib.CategoryTheory.Sites.Sieves
- Cited by
- 57 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Presievestatement · cited by 449
Cited by71
Results whose statement or proof uses this declaration.
- CategoryTheory.Presieve.ofArrows_pUnitstatement and proof · cited by 10
- CategoryTheory.Presieve.singleton.casesOnstatement and proof · cited by 9
- CategoryTheory.Presieve.FamilyOfElements.singletonEquivstatement and proof · cited by 5
- CategoryTheory.PreZeroHypercover.presieve₀_singletonstatement and proof · cited by 4
- CategoryTheory.Precoverage.mem_coverings_of_isIsostatement · cited by 3
- CategoryTheory.Presieve.singleton_selfstatement · cited by 3
- CategoryTheory.Pretopology.extproof · cited by 3
- CategoryTheory.Presieve.isSheafFor_topproof · cited by 3
- CategoryTheory.Presieve.ofArrows_of_uniquestatement and proof · cited by 2
- AlgebraicGeometry.Scheme.Hom.presieve₀_coverstatement and proof · cited by 2
- CategoryTheory.Presieve.FamilyOfElements.singletonEquiv_symm_apply_selfstatement · cited by 2