Theorems · Theorem · algebraic geometry
AlgebraicGeometry.HasRingHomProperty.HasAffineProperty
∀ (P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme)
{Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop}
[AlgebraicGeometry.HasRingHomProperty P Q],
AlgebraicGeometry.HasAffineProperty P (AlgebraicGeometry.sourceAffineLocally fun {R S} [CommRing R] [CommRing S] => Q)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- AlgebraicGeometry.HasRingHomPropertystatement and proof · cited by 38
- AlgebraicGeometry.HasAffinePropertystatement · cited by 30
- RingHom.PropertyIsLocal.respectsIsoproof · cited by 16
- AlgebraicGeometry.HasRingHomProperty.isLocal_ringHomPropertyproof · cited by 11
- AlgebraicGeometry.HasRingHomProperty.eq_affineLocallyproof · cited by 7
- AlgebraicGeometry.sourceAffineLocallystatement · cited by 6
- RingHom.PropertyIsLocal.localizationAwayPreservesproof · cited by 4
- RingHom.PropertyIsLocal.ofLocalizationSpanproof · cited by 4
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