Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.Cover
CategoryTheory.Precoverage AlgebraicGeometry.Scheme → AlgebraicGeometry.Scheme → Type (max (u + 1) (v + 1))
A cover of X in the coverage K is a 0-hypercover for K.
- Cited by
- 88 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.Precoveragestatement and proof · cited by 204
- CategoryTheory.Precoverage.ZeroHypercoverproof · cited by 81
Cited by138
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.OpenCoverproof · cited by 207
- AlgebraicGeometry.Scheme.Cover.LocallyDirectedstatement · cited by 63
- AlgebraicGeometry.Scheme.Cover.transstatement and proof · cited by 43
- AlgebraicGeometry.Scheme.Cover.pullbackHomstatement and proof · cited by 32
- AlgebraicGeometry.Scheme.Cover.idxstatement and proof · cited by 28
- AlgebraicGeometry.Scheme.Cover.Overstatement · cited by 23
- AlgebraicGeometry.Scheme.Cover.coversstatement and proof · cited by 14
- AlgebraicGeometry.Scheme.Cover.functorOfLocallyDirectedstatement and proof · cited by 14
- AlgebraicGeometry.Scheme.Cover.exists_eqstatement and proof · cited by 12
- AlgebraicGeometry.Scheme.Cover.sigmastatement and proof · cited by 12
- AlgebraicGeometry.Scheme.Cover.uliftstatement and proof · cited by 9
- AlgebraicGeometry.Scheme.coverOfIsIsostatement · cited by 9