Theorems · Theorem · algebraic geometry

AlgebraicGeometry.HasRingHomProperty.appTop

∀ (P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme)
  {Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop}
  [AlgebraicGeometry.HasRingHomProperty P Q] {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y),
  P f →
    ∀ [AlgebraicGeometry.IsAffine X] [AlgebraicGeometry.IsAffine Y],
      Q (CommRingCat.Hom.hom (AlgebraicGeometry.Scheme.Hom.appTop f))

Defined in

Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties

Cited by

3 results in Mathlib

Foundations

Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AlgebraicGeometry.HasRingHomPropertyAlgebraicGeometry.IsAffineAlgebraicGeometry.IsAffine