Theorems · Definition · category theory
CategoryTheory.PreZeroHypercover.f
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{S : C} → (self : CategoryTheory.PreZeroHypercover S) → (i : self.I₀) → self.X i ⟶ Sthe morphisms in the covering of S
- Cited by
- 542 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 10 definitions · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 32,603
- CategoryTheory.PreZeroHypercover.I₀statement · cited by 763
- CategoryTheory.PreZeroHypercover.Xstatement · cited by 649
- CategoryTheory.PreZeroHypercoverstatement and proof · cited by 256
Cited by705
Results whose statement or proof uses this declaration.
- CategoryTheory.PreZeroHypercover.presieve₀proof · cited by 70
- CategoryTheory.Precoverage.ZeroHypercover.pullback₁statement and proof · cited by 64
- AlgebraicGeometry.Scheme.isBasis_affineOpensproof · cited by 37
- CategoryTheory.PreZeroHypercover.sieve₀proof · cited by 35
- AlgebraicGeometry.Scheme.Pullback.vstatement and proof · cited by 34
- CategoryTheory.PreZeroHypercover.HasPullbacksproof · cited by 33
- AlgebraicGeometry.Scheme.Cover.pullbackHomstatement and proof · cited by 32
- AlgebraicGeometry.Scheme.Pullback.gluingstatement and proof · cited by 30
- AlgebraicGeometry.Scheme.Hom.toNormalizationproof · cited by 28
- CategoryTheory.PreZeroHypercover.toPreOneHypercoverproof · cited by 23
- AlgebraicGeometry.Scheme.Pullback.fVstatement and proof · cited by 21
- AlgebraicGeometry.Scheme.Pullback.t'statement and proof · cited by 20
Showing the 200 most cited of 705.