Theorems · Theorem · algebraic geometry

AlgebraicGeometry.sourceAffineLocally_isLocal

∀ (P : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop),
  (RingHom.RespectsIso fun {R S} [CommRing R] [CommRing S] => P) →
    (RingHom.LocalizationAwayPreserves fun {R S} [CommRing R] [CommRing S] => P) →
      (RingHom.OfLocalizationSpan fun {R S} [CommRing R] [CommRing S] => P) →
        (AlgebraicGeometry.sourceAffineLocally fun {R S} [CommRing R] [CommRing S] => P).IsLocal

Defined in

Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties

Cited by

1 results in Mathlib

Foundations

Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound