Theorems · Theorem · algebraic geometry

PrimeSpectrum.isClosed_image_of_stableUnderSpecialization

∀ {R : Type u_1} {S : Type u_2} [inst : CommSemiring R] [inst_1 : CommSemiring S] (f : R →+* S)
  (Z : Set (PrimeSpectrum S)),
  IsClosed Z → StableUnderSpecialization (PrimeSpectrum.comap f '' Z) → IsClosed (PrimeSpectrum.comap f '' Z)

Defined in

Mathlib.RingTheory.Spectrum.Prime.Topology

Cited by

6 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiring