Theorems · Definition · algebraic geometry
AlgebraicGeometry.IsZariskiLocalAtSource
CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme → Prop
A property is Zariski-local at source if it is local at source in the Zariski topology.
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 106 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.
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.IsLocalAtSourceproof · cited by 11
- AlgebraicGeometry.Scheme.zariskiPrecoverageproof · cited by 10
Cited by41
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsZariskiLocalAtSource.iff_of_openCoverstatement and proof · cited by 13
- AlgebraicGeometry.Scheme.Cover.sigmastatement and proof · cited by 12
- AlgebraicGeometry.IsZariskiLocalAtSource.compstatement and proof · cited by 10
- AlgebraicGeometry.IsZariskiLocalAtSource.of_isOpenImmersionstatement and proof · cited by 5
- AlgebraicGeometry.Scheme.Cover.Hom.sigmastatement and proof · cited by 3
- AlgebraicGeometry.IsZariskiLocalAtSource.iff_of_iSup_eq_topstatement and proof · cited by 3
- AlgebraicGeometry.Scheme.Cover.sigmaFunctorstatement and proof · cited by 2
- AlgebraicGeometry.Scheme.Cover.toSigmastatement and proof · cited by 2
- AlgebraicGeometry.HasRingHomProperty.of_isZariskiLocalAtSource_of_isZariskiLocalAtTargetstatement and proof · cited by 2
- AlgebraicGeometry.IsLocalIso.le_of_isZariskiLocalAtSourcestatement and proof · cited by 2
- AlgebraicGeometry.IsZariskiLocalAtSource.iff_exists_resLEstatement and proof · cited by 2
- AlgebraicGeometry.IsZariskiLocalAtSource.mk'statement · cited by 2