Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Cover.gluedCover_U
∀ {X : AlgebraicGeometry.Scheme} (𝒰 : X.OpenCover) (i : 𝒰.I₀), (AlgebraicGeometry.Scheme.Cover.gluedCover 𝒰).U i = 𝒰.X i- Defined in
- Mathlib.AlgebraicGeometry.Gluing
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- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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.PreZeroHypercover.I₀statement and proof · cited by 763
- CategoryTheory.PreZeroHypercover.Xstatement · cited by 649
- AlgebraicGeometry.IsOpenImmersionstatement · cited by 476
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement and proof · cited by 469
- AlgebraicGeometry.Scheme.precoveragestatement · cited by 336
- AlgebraicGeometry.Scheme.OpenCoverstatement and proof · cited by 207
- CategoryTheory.GlueData.Ustatement and proof · cited by 121
- AlgebraicGeometry.Scheme.GlueData.toGlueDatastatement and proof · cited by 68
- AlgebraicGeometry.Scheme.Cover.gluedCoverstatement and proof · cited by 15
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