Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.PartialMap.toRationalMap
{X Y : AlgebraicGeometry.Scheme} → X.PartialMap Y → X.RationalMap YA partial map as a rational map.
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- AlgebraicGeometry.Scheme.PartialMapstatement and proof · cited by 76
- AlgebraicGeometry.Scheme.RationalMapstatement · cited by 25
Cited by35
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.PartialMap.toRationalMap_eq_iffstatement · cited by 7
- AlgebraicGeometry.Scheme.RationalMap.compproof · cited by 7
- AlgebraicGeometry.Scheme.RationalMap.toRationalMap_representativestatement · cited by 5
- AlgebraicGeometry.Scheme.PartialMap.le_domain_toRationalMapstatement · cited by 3
- AlgebraicGeometry.Scheme.RationalMap.domainproof · cited by 3
- AlgebraicGeometry.Scheme.RationalMap.idproof · cited by 3
- AlgebraicGeometry.Scheme.Hom.toRationalMapproof · cited by 3
- AlgebraicGeometry.Scheme.PartialMap.representative_toRationalMap_equivstatement and proof · cited by 2
- AlgebraicGeometry.Scheme.PartialMap.restrict_toRationalMapstatement · cited by 2
- AlgebraicGeometry.Scheme.PartialMap.toRationalMap_surjectivestatement · cited by 2
- AlgebraicGeometry.Scheme.RationalMap.compHom_toRationalMapstatement · cited by 2
- AlgebraicGeometry.Scheme.RationalMap.comp_defstatement · cited by 2