Theorems · Definition · category theory
CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercover
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{J : CategoryTheory.Precoverage C} → {S : C} → J.ZeroHypercover S → CategoryTheory.PreZeroHypercover S- Cited by
- 469 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 5 definitions · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.PreZeroHypercoverstatement · cited by 256
- CategoryTheory.Precoveragestatement and proof · cited by 204
- CategoryTheory.Precoverage.ZeroHypercoverstatement and proof · cited by 81
Cited by617
Results whose statement or proof uses this declaration.
- CategoryTheory.Precoverage.ZeroHypercover.pullback₁statement and proof · cited by 64
- AlgebraicGeometry.Scheme.Cover.LocallyDirectedstatement · cited by 63
- AlgebraicGeometry.Scheme.Cover.transstatement and proof · cited by 43
- AlgebraicGeometry.Scheme.isBasis_affineOpensproof · cited by 37
- AlgebraicGeometry.Scheme.Pullback.vstatement and proof · cited by 34
- AlgebraicGeometry.Scheme.Cover.pullbackHomstatement and proof · cited by 32
- AlgebraicGeometry.Scheme.Pullback.gluingstatement and proof · cited by 30
- AlgebraicGeometry.Scheme.Cover.idxstatement · cited by 28
- AlgebraicGeometry.Scheme.Hom.toNormalizationproof · cited by 28
- CategoryTheory.Precoverage.ZeroHypercover.mem₀statement · cited by 26
- AlgebraicGeometry.Scheme.Cover.ColimitGluingDatastatement · cited by 26
- AlgebraicGeometry.HasAffineProperty.iff_of_isAffineproof · cited by 21
Showing the 200 most cited of 617.