Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.AffineZariskiSite.directedCover_f
∀ (X : AlgebraicGeometry.Scheme) (U : X.AffineZariskiSite), (AlgebraicGeometry.Scheme.AffineZariskiSite.directedCover X).f U = (↑U).ι
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- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
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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.Scheme.Opensstatement · cited by 1,149
- CategoryTheory.PreZeroHypercover.fstatement and proof · cited by 542
- AlgebraicGeometry.IsOpenImmersionstatement · cited by 476
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement and proof · cited by 469
- AlgebraicGeometry.Scheme.Opens.toSchemestatement · cited by 433
- AlgebraicGeometry.Scheme.precoveragestatement · cited by 336
- AlgebraicGeometry.Scheme.Opens.ιstatement · cited by 275
- AlgebraicGeometry.IsAffineOpenstatement · cited by 222
- AlgebraicGeometry.Scheme.AffineZariskiSitestatement and proof · cited by 30
- AlgebraicGeometry.Scheme.AffineZariskiSite.directedCoverstatement and proof · cited by 9
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