Theorems · Theorem · algebraic geometry

AlgebraicGeometry.HasRingHomProperty.ext

∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme}
  {Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop}
  [AlgebraicGeometry.HasRingHomProperty P Q] {P' : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme}
  {Q' : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop}
  [AlgebraicGeometry.HasRingHomProperty P' fun {R S} [CommRing R] [CommRing S] => Q'],
  (∀ {R S : Type u} [inst : CommRing R] [inst_1 : CommRing S] (f : R →+* S), Q f ↔ Q' f) → P = P'

Defined in

Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties

Cited by

1 results in Mathlib

Foundations

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

Assumes

AlgebraicGeometry.HasRingHomPropertyAlgebraicGeometry.HasRingHomProperty