Theorems · Definition · algebraic geometry
AlgebraicGeometry.affineAnd
({R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop) →
AlgebraicGeometry.AffineTargetMorphismPropertyThis is the affine target morphism property where the source is affine and
the induced map of rings on global sections satisfies P.
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Top.topproof · cited by 9,680
- AlgebraicGeometry.Schemeproof · cited by 2,540
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpaceproof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpaceproof · cited by 1,734
- AlgebraicGeometry.PresheafedSpace.presheafproof · cited by 1,104
- CommRingCat.carrierproof · cited by 1,096
- CommRingCat.Hom.homproof · cited by 432
Cited by21
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.targetAffineLocally_affineAnd_iffstatement · cited by 4
- AlgebraicGeometry.affineAnd_isLocalstatement and proof · cited by 2
- AlgebraicGeometry.affineAnd_respectsIsostatement and proof · cited by 2
- AlgebraicGeometry.targetAffineLocally_affineAnd_iff'statement · cited by 2
- AlgebraicGeometry.HasAffineProperty.SpecMap_iff_of_affineAndstatement and proof · cited by 1
- AlgebraicGeometry.HasAffineProperty.affineAnd_le_isAffineHomstatement and proof · cited by 1
- AlgebraicGeometry.affineAnd_isStableUnderBaseChangestatement and proof · cited by 1
- AlgebraicGeometry.targetAffineLocally_affineAnd_eq_affineLocallystatement and proof · cited by 1
- AlgebraicGeometry.targetAffineLocally_affineAnd_iff_affineLocallystatement · cited by 1
- AlgebraicGeometry.targetAffineLocally_affineAnd_lestatement and proof · cited by 1
- AlgebraicGeometry.affineAnd.congr_simpstatement and proof · cited by 0
- AlgebraicGeometry.HasAffineProperty.affineAnd_containsIdentitiesstatement and proof · cited by 0