Theorems · Theorem · algebraic geometry

AlgebraicGeometry.targetAffineLocally_affineAnd_eq_affineLocally

∀ {Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop},
  (RingHom.PropertyIsLocal fun {R S} [CommRing R] [CommRing S] => Q) →
    AlgebraicGeometry.targetAffineLocally (AlgebraicGeometry.affineAnd fun {R S} [CommRing R] [CommRing S] => Q) =
      @AlgebraicGeometry.IsAffineHom ⊓ AlgebraicGeometry.affineLocally fun {R S} [CommRing R] [CommRing S] => Q

Defined in

Mathlib.AlgebraicGeometry.Morphisms.AffineAnd

Cited by

1 results in Mathlib

Foundations

Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound