Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.Opens.partialIsoOfDense
{X : AlgebraicGeometry.Scheme} → (U : X.Opens) → Dense ↑U → (↑U).PartialIso XA dense open set U : Opens X induces a partial isomorphism between U and X.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- 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 and proof · cited by 433
- Densestatement and proof · cited by 359
Cited by9
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.partialIsoproof · cited by 5
- AlgebraicGeometry.Scheme.Hom.partialIso_isostatement and proof · cited by 1
- AlgebraicGeometry.Scheme.Opens.birationalOver_of_denseproof · cited by 1
- AlgebraicGeometry.Scheme.Hom.partialIso_targetstatement · cited by 0
- AlgebraicGeometry.Scheme.Opens.partialIsoOfDense_isostatement and proof · cited by 0
- AlgebraicGeometry.Scheme.Opens.partialIsoOfDense_sourcestatement and proof · cited by 0
- AlgebraicGeometry.Scheme.Opens.partialIsoOfDense_targetstatement and proof · cited by 0
- AlgebraicGeometry.Scheme.Opens.birational_of_denseproof · cited by 0
- AlgebraicGeometry.Scheme.Opens.partialIsoOfDense.congr_simpstatement and proof · cited by 0