Theorems · Theorem · algebraic geometry

PrimeSpectrum.comap_basicOpen

∀ {R : Type u} {S : Type v} [inst : CommSemiring R] [inst_1 : CommSemiring S] (f : R →+* S) (x : R),
  (TopologicalSpace.Opens.comap { toFun := PrimeSpectrum.comap f, continuous_toFun := ⋯ }) (PrimeSpectrum.basicOpen x) =
    PrimeSpectrum.basicOpen (f x)

Defined in

Mathlib.RingTheory.Spectrum.Prime.Topology

Cited by

4 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiring