Theorems · Theorem · algebraic geometry

PrimeSpectrum.comap_singleton_isClosed_of_surjective

∀ {R : Type u} (S : Type v) [inst : CommRing R] [inst_1 : CommRing S] (f : R →+* S),
  Function.Surjective ⇑f → ∀ (x : PrimeSpectrum S), IsClosed {x} → IsClosed {PrimeSpectrum.comap f x}

Defined in

Mathlib.RingTheory.Spectrum.Prime.Topology

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRing