Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.PartialIso.IsOver
{X Y S : AlgebraicGeometry.Scheme} → (X ⟶ S) → (Y ⟶ S) → X.PartialIso Y → PropA partial iso is an S-map if the underlying morphism is.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Scheme.Opens.ιproof · cited by 275
- AlgebraicGeometry.Scheme.PartialIsostatement and proof · cited by 32
- AlgebraicGeometry.Scheme.PartialIso.sourceproof · cited by 30
- AlgebraicGeometry.Scheme.PartialIso.targetproof · cited by 28
- AlgebraicGeometry.Scheme.PartialIso.isoproof · cited by 17
Cited by7
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.BirationalOverproof · cited by 10
- AlgebraicGeometry.Scheme.PartialIso.IsOver.restrictSourcestatement and proof · cited by 2
- AlgebraicGeometry.Scheme.PartialIso.IsOver.symmstatement and proof · cited by 2
- AlgebraicGeometry.Scheme.BirationalOver.partialIso_isOverstatement · cited by 2
- AlgebraicGeometry.Scheme.PartialIso.IsOver.restrictTargetstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.PartialIso.IsOver.transstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.PartialIso.IsOver.trans'statement and proof · cited by 1