Theorems · Theorem · algebraic geometry
AlgebraicGeometry.HasAffineProperty.affineAnd_le_isAffineHom
∀ {Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop}
(P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme),
AlgebraicGeometry.HasAffineProperty P (AlgebraicGeometry.affineAnd fun {R S} [CommRing R] [CommRing S] => Q) →
P ≤ @AlgebraicGeometry.IsAffineHom- Cited by
- 1 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- Set.Elemproof · cited by 7,166
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- AlgebraicGeometry.PresheafedSpace.Hom.baseproof · cited by 1,135
- AlgebraicGeometry.LocallyRingedSpace.Hom.toHomproof · cited by 995
- AlgebraicGeometry.Scheme.Hom.toLRSHom'proof · cited by 895
- TopologicalSpace.Opens.mapproof · cited by 645
- AlgebraicGeometry.Scheme.Opens.toSchemeproof · cited by 433
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.HasAffineProperty.coprodDesc_affineAndproof · cited by 0