Theorems · Theorem · algebraic geometry

AlgebraicGeometry.HasRingHomProperty.of_isOpenImmersion

∀ {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},
  (RingHom.ContainsIdentities fun {R S} [CommRing R] [CommRing S] => Q) → ∀ [AlgebraicGeometry.IsOpenImmersion f], P f

Defined in

Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties

Cited by

0 results in Mathlib

Foundations

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

Assumes

AlgebraicGeometry.HasRingHomPropertyAlgebraicGeometry.IsOpenImmersion