Theorems · Definition · algebraic geometry
AlgebraicGeometry.IsZariskiLocalAtTarget
CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme → Prop
A property is Zariski-local at target if it is local at target in the Zariski topology.
- Cited by
- 36 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.IsLocalAtTargetproof · cited by 14
- AlgebraicGeometry.Scheme.zariskiPrecoverageproof · cited by 10
Cited by40
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsZariskiLocalAtTarget.iff_of_openCoverstatement and proof · cited by 18
- AlgebraicGeometry.IsZariskiLocalAtTarget.iff_of_iSup_eq_topstatement and proof · cited by 10
- AlgebraicGeometry.IsZariskiLocalAtTarget.restrictstatement and proof · cited by 8
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.gluedstatement and proof · cited by 7
- AlgebraicGeometry.IsZariskiLocalAtTarget.of_isPullbackstatement and proof · cited by 6
- AlgebraicGeometry.IsZariskiLocalAtTarget.of_iSup_eq_topstatement and proof · cited by 5
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.gluedCoconestatement and proof · cited by 4
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.pullbackGluedIsostatement and proof · cited by 4
- AlgebraicGeometry.IsZariskiLocalAtTarget.mk'statement · cited by 3
- AlgebraicGeometry.IsZariskiLocalAtTarget.of_openCoverstatement and proof · cited by 2
- AlgebraicGeometry.HasRingHomProperty.of_isZariskiLocalAtSource_of_isZariskiLocalAtTargetstatement and proof · cited by 2
- AlgebraicGeometry.IsZariskiLocalAtSource.iff_exists_resLEstatement and proof · cited by 2