Theorems · Theorem · algebraic geometry
AlgebraicGeometry.HasRingHomProperty.eq_affineLocally
∀ (P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme)
{Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop}
[AlgebraicGeometry.HasRingHomProperty P Q],
P = AlgebraicGeometry.affineLocally fun {R S} [CommRing R] [CommRing S] => Q- Cited by
- 7 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.affineLocallystatement · cited by 13
- AlgebraicGeometry.HasRingHomProperty.eq_affineLocally'proof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.HasRingHomProperty.comp_of_isOpenImmersionproof · cited by 4
- AlgebraicGeometry.HasRingHomProperty.iff_appLEproof · cited by 2
- AlgebraicGeometry.HasRingHomProperty.appLEproof · cited by 2
- AlgebraicGeometry.HasRingHomProperty.extproof · cited by 1
- AlgebraicGeometry.HasAffineProperty.affineAnd_eq_of_propertyIsLocalproof · cited by 0
- AlgebraicGeometry.HasRingHomProperty.HasAffinePropertyproof · cited by 0
- AlgebraicGeometry.HasRingHomProperty.infproof · cited by 0