Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Opens.birational_of_dense
∀ {X : AlgebraicGeometry.Scheme} (U : X.Opens), Dense ↑U → (↑U).Birational XA dense open set U : Opens X is birational to X.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coestatement and proof · cited by 8,199
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
- AlgebraicGeometry.Scheme.Opensstatement and proof · cited by 1,149
- AlgebraicGeometry.Scheme.Opens.toSchemestatement · cited by 433
- Densestatement and proof · cited by 359
- AlgebraicGeometry.Scheme.Opens.partialIsoOfDenseproof · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.