Theorems · Theorem · algebraic geometry

AlgebraicGeometry.HasAffineProperty.affineAnd_eq_of_propertyIsLocal

∀ {Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop}
  {P P' : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme},
  AlgebraicGeometry.HasAffineProperty P (AlgebraicGeometry.affineAnd fun {R S} [CommRing R] [CommRing S] => Q) →
    ∀ [AlgebraicGeometry.HasRingHomProperty P' fun {R S} [CommRing R] [CommRing S] => Q],
      P = @AlgebraicGeometry.IsAffineHom ⊓ P'

Defined in

Mathlib.AlgebraicGeometry.Morphisms.AffineAnd

Cited by

0 results in Mathlib

Foundations

Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AlgebraicGeometry.HasRingHomProperty