Theorems · Theorem · algebraic geometry
AlgebraicGeometry.isIntegral_of_isAffine_of_isDomain
∀ (X : AlgebraicGeometry.Scheme) [AlgebraicGeometry.IsAffine X] [Nonempty ↥X] [IsDomain ↑(X.presheaf.obj (Opposite.op ⊤))], AlgebraicGeometry.IsIntegral X
- Defined in
- Mathlib.AlgebraicGeometry.Properties
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
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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 and proof · cited by 19,642
- Top.topstatement and proof · cited by 9,680
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.homproof · cited by 7,684
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- IsDomainstatement and proof · cited by 2,196
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
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