Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.AffineOpenCover.openCover_f
∀ {X : AlgebraicGeometry.Scheme} (𝒰 : X.AffineOpenCover) (j : 𝒰.I₀), 𝒰.openCover.f j = 𝒰.f j- Defined in
- Mathlib.AlgebraicGeometry.Cover.Open
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Specstatement · cited by 626
- CategoryTheory.PreZeroHypercover.fstatement and proof · cited by 542
- AlgebraicGeometry.IsOpenImmersionstatement · cited by 476
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement and proof · cited by 469
- AlgebraicGeometry.Scheme.precoveragestatement · cited by 336
- AlgebraicGeometry.Scheme.AffineCover.fstatement · cited by 24
- AlgebraicGeometry.Scheme.AffineCover.Xstatement · cited by 19
- AlgebraicGeometry.Scheme.AffineOpenCover.openCoverstatement and proof · cited by 17
- AlgebraicGeometry.Scheme.AffineCover.I₀statement and proof · cited by 17
- AlgebraicGeometry.Scheme.AffineOpenCoverstatement and proof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.inclusion_subschemeιproof · cited by 3
- AlgebraicGeometry.Scheme.IdealSheafData.inclusion_compproof · cited by 1
- AlgebraicGeometry.Proj.map_compproof · cited by 0
- AlgebraicGeometry.Proj.map_idproof · cited by 0