Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.RationalMap.domain
{X Y : AlgebraicGeometry.Scheme} → X.RationalMap Y → X.OpensThe domain of definition of a rational map.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredproof · cited by 6,101
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Scheme.Opensstatement and proof · cited by 1,149
- SupSet.sSupproof · cited by 954
- AlgebraicGeometry.Scheme.PartialMapproof · cited by 76
- AlgebraicGeometry.Scheme.PartialMap.domainproof · cited by 60
- AlgebraicGeometry.Scheme.PartialMap.toRationalMapproof · cited by 26
- AlgebraicGeometry.Scheme.RationalMapstatement and proof · cited by 25
Cited by5
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.PartialMap.le_domain_toRationalMapstatement · cited by 3
- AlgebraicGeometry.Scheme.RationalMap.toPartialMapproof · cited by 3
- AlgebraicGeometry.Scheme.RationalMap.openCoverDomainstatement · cited by 1
- AlgebraicGeometry.Scheme.RationalMap.dense_domainstatement · cited by 0
- AlgebraicGeometry.Scheme.RationalMap.mem_domainstatement · cited by 0