Theorems · Theorem · algebraic geometry

AlgebraicGeometry.HasRingHomProperty.comp_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 Z : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (g : Y ⟶ Z)
  [AlgebraicGeometry.IsOpenImmersion f], P g → P (CategoryTheory.CategoryStruct.comp f g)

Defined in

Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties

Cited by

4 results in Mathlib

Foundations

Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AlgebraicGeometry.HasRingHomPropertyAlgebraicGeometry.IsOpenImmersion