Theorems · Theorem · algebraic geometry
AlgebraicGeometry.HasAffineProperty.of_isZariskiLocalAtTarget
∀ (P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme) [AlgebraicGeometry.IsZariskiLocalAtTarget P], AlgebraicGeometry.HasAffineProperty P (AlgebraicGeometry.AffineTargetMorphismProperty.of P)
Every property local at the target can be associated with an affine target property. This is not an instance as the associated property can often take on simpler forms.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- AlgebraicGeometry.Scheme.Hom.toLRSHom'proof · cited by 895
- CategoryTheory.PreZeroHypercover.I₀proof · cited by 763
- TopologicalSpace.Opens.mapproof · cited by 645
- CategoryTheory.PreZeroHypercover.fproof · cited by 542
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.HasAffineProperty.iffproof · cited by 0