Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.BirationalOver.partialIso
{S X Y : AlgebraicGeometry.Scheme} →
(sX : X ⟶ S) → (sY : Y ⟶ S) → AlgebraicGeometry.Scheme.BirationalOver sX sY → X.PartialIso YChoose a partial isomorphism witnessing that X and Y are birational over S.
- Cited by
- 3 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Scheme.PartialIsostatement · cited by 32
- AlgebraicGeometry.Scheme.BirationalOverstatement and proof · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.BirationalOver.transproof · cited by 2
- AlgebraicGeometry.Scheme.BirationalOver.partialIso_isOverstatement · cited by 2
- AlgebraicGeometry.Scheme.BirationalOver.symmproof · cited by 0