Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.RationalMap.openCoverDomain
{X Y : AlgebraicGeometry.Scheme} → (f : X.RationalMap Y) → (↑f.domain).OpenCoverThe open cover of the domain of f : X ⤏ Y,
consisting of all the domains of the partial maps in the equivalence class.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Scheme.Opensproof · cited by 1,149
- AlgebraicGeometry.Scheme.Opens.toSchemestatement and proof · cited by 433
- AlgebraicGeometry.Scheme.OpenCoverstatement · cited by 207
- AlgebraicGeometry.Scheme.homOfLEproof · cited by 103
- 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
- AlgebraicGeometry.Scheme.RationalMap.domainstatement · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.RationalMap.toPartialMapproof · cited by 3
- AlgebraicGeometry.Scheme.PartialMap.toPartialMap_toRationalMap_restrictproof · cited by 1