Theorems · Theorem · algebraic geometry
AlgebraicGeometry.affineAnd_isLocal_of_propertyIsLocal
∀ {Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop},
(RingHom.PropertyIsLocal fun {R S} [CommRing R] [CommRing S] => Q) →
(AlgebraicGeometry.affineAnd fun {R S} [CommRing R] [CommRing S] => Q).IsLocal- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- AlgebraicGeometry.affineAndstatement · cited by 21
- RingHom.PropertyIsLocalstatement and proof · cited by 20
- AlgebraicGeometry.AffineTargetMorphismProperty.IsLocalstatement · cited by 17
- RingHom.PropertyIsLocal.respectsIsoproof · cited by 16
- RingHom.PropertyIsLocal.localizationAwayPreservesproof · cited by 4
- RingHom.PropertyIsLocal.ofLocalizationSpanproof · cited by 4
- AlgebraicGeometry.affineAnd_isLocalproof · cited by 2
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