Theorems · Theorem · algebraic geometry

AlgebraicGeometry.stalkwise_isZariskiLocalAtSource_of_respectsIso

∀ {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) →
    AlgebraicGeometry.IsZariskiLocalAtSource (AlgebraicGeometry.stalkwise fun {R S} [CommRing R] [CommRing S] => P)

If P respects isos, then stalkwise P is local at the source.

Defined in

Mathlib.AlgebraicGeometry.Morphisms.Constructors

Cited by

1 results in Mathlib

Foundations

Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound