Theorems · Theorem · category theory
CategoryTheory.Sieve.generate_of_singleton_isSplitEpi
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X Y : C} (f : Y ⟶ X) [CategoryTheory.IsSplitEpi f],
CategoryTheory.Sieve.generate (CategoryTheory.Presieve.singleton f) = ⊤- Defined in
- Mathlib.CategoryTheory.Sites.Sieves
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- Top.topstatement · cited by 9,680
- CategoryTheory.Sievestatement · cited by 552
- CategoryTheory.Sieve.generatestatement · cited by 117
- CategoryTheory.Presieve.singletonstatement · cited by 57
- CategoryTheory.IsSplitEpistatement and proof · cited by 46
- CategoryTheory.Presieve.singleton_selfproof · cited by 3
- CategoryTheory.Sieve.generate_of_contains_isSplitEpiproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Presieve.isSheafFor_topproof · cited by 3
- CategoryTheory.PreOneHypercover.sieve₀_trivialproof · cited by 0