Theorems · Inductive type · category theory
CategoryTheory.Precoverage.ZeroHypercover
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Precoverage C → C → Type (max (max u v) (w + 1))The type of 0-hypercovers of an object S : C in a category equipped with a
coverage J. This can be constructed from a covering of S.
- Cited by
- 81 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Precoveragestatement · cited by 204
Cited by115
Results whose statement or proof uses this declaration.
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement and proof · cited by 469
- AlgebraicGeometry.Scheme.Coverproof · cited by 88
- CategoryTheory.Precoverage.ZeroHypercover.pullback₁statement and proof · cited by 64
- CategoryTheory.Precoverage.ZeroHypercover.mem₀statement and proof · cited by 26
- CategoryTheory.Precoverage.mem_iff_exists_zeroHypercoverstatement and proof · cited by 8
- CategoryTheory.Precoverage.ZeroHypercover.Small.restrictFunstatement and proof · cited by 8
- CategoryTheory.Precoverage.ZeroHypercover.bindstatement and proof · cited by 8
- CategoryTheory.Precoverage.ZeroHypercover.restrictIndexOfSmallstatement and proof · cited by 8
- CategoryTheory.Precoverage.ZeroHypercover.Smallstatement · cited by 7
- CategoryTheory.Precoverage.ZeroHypercover.Small.Indexstatement and proof · cited by 4
- CategoryTheory.MorphismProperty.IsLocalAtTarget.mk_of_iff_of_zeroHypercoverstatement and proof · cited by 4
- CategoryTheory.Precoverage.ZeroHypercover.pullback₂statement and proof · cited by 4