Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.affineOpenCover_X
∀ (X : AlgebraicGeometry.Scheme) (x : ↑X.toTopCat), X.affineOpenCover.X x = Classical.choose ⋯
- Defined in
- Mathlib.AlgebraicGeometry.Cover.Open
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- CategoryTheory.Isostatement · cited by 3,963
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- TopologicalSpace.Opensstatement · cited by 2,040
- TopCatstatement · cited by 1,889
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
- AlgebraicGeometry.IsOpenImmersionstatement · cited by 476
- AlgebraicGeometry.LocallyRingedSpacestatement · cited by 205
- AlgebraicGeometry.LocallyRingedSpace.toTopCatstatement and proof · cited by 128
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