Theorems · Theorem · commutative algebra

MaximalSpectrum.mapPiLocalization_comp

∀ {R : Type u_1} {S : Type u_2} (P : Type u_3) [inst : CommSemiring R] [inst_1 : CommSemiring S]
  [inst_2 : CommSemiring P] (f : R →+* S) (g : S →+* P) (hf : Function.Bijective ⇑f) (hg : Function.Bijective ⇑g),
  MaximalSpectrum.mapPiLocalization (g.comp f) ⋯ =
    (MaximalSpectrum.mapPiLocalization g hg).comp (MaximalSpectrum.mapPiLocalization f hf)

Defined in

Mathlib.RingTheory.Spectrum.Maximal.Localization

Cited by

1 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiringCommSemiring