Theorems · Theorem · algebraic geometry

AlgebraicGeometry.HasAffineProperty.SpecMap_iff_of_affineAnd

∀ {Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop}
  {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme},
  AlgebraicGeometry.HasAffineProperty P (AlgebraicGeometry.affineAnd fun {R S} [CommRing R] [CommRing S] => Q) →
    (RingHom.RespectsIso fun {R S} [CommRing R] [CommRing S] => Q) →
      ∀ {R S : CommRingCat} (f : R ⟶ S), P (AlgebraicGeometry.Spec.map f) ↔ Q (CommRingCat.Hom.hom f)

Defined in

Mathlib.AlgebraicGeometry.Morphisms.AffineAnd

Cited by

1 results in Mathlib

Foundations

Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound