Theorems · Definition · category theory
CategoryTheory.PreZeroHypercover.X
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → {S : C} → (self : CategoryTheory.PreZeroHypercover S) → self.I₀ → Cthe objects in the covering of S
- Cited by
- 649 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 4 definitions · 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 and proof · cited by 32,673
- CategoryTheory.PreZeroHypercover.I₀statement · cited by 763
- CategoryTheory.PreZeroHypercoverstatement and proof · cited by 256
Cited by834
Results whose statement or proof uses this declaration.
- CategoryTheory.PreZeroHypercover.fstatement · cited by 542
- CategoryTheory.PreZeroHypercover.Hom.h₀statement · cited by 93
- CategoryTheory.PreOneHypercover.p₁statement · cited by 79
- CategoryTheory.PreZeroHypercover.presieve₀proof · cited by 70
- CategoryTheory.Precoverage.ZeroHypercover.pullback₁statement · cited by 64
- CategoryTheory.PreOneHypercover.p₂statement · cited by 63
- AlgebraicGeometry.Scheme.Cover.transstatement · cited by 43
- CategoryTheory.PreZeroHypercover.sieve₀proof · cited by 35
- AlgebraicGeometry.Scheme.Pullback.vstatement · cited by 34
- AlgebraicGeometry.Scheme.Cover.pullbackHomstatement · cited by 32
- AlgebraicGeometry.Scheme.Pullback.gluingstatement · cited by 30
- CategoryTheory.PreOneHypercover.multicospanIndexproof · cited by 27
Showing the 200 most cited of 834.