Theorems · Theorem · functional analysis

QuasispectrumRestricts.mul_comm_iff

∀ {R : Type u_3} {S : Type u_4} {A : Type u_5} [inst : Semifield R] [inst_1 : Field S] [inst_2 : NonUnitalRing A]
  [inst_3 : Module R A] [inst_4 : Module S A] [inst_5 : Algebra R S] [IsScalarTower S A A] [SMulCommClass S A A]
  {f : S → R} {a b : A}, QuasispectrumRestricts (a * b) f ↔ QuasispectrumRestricts (b * a) f

Defined in

Mathlib.Algebra.Algebra.Spectrum.Quasispectrum

Cited by

2 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemifieldFieldNonUnitalRingModuleModuleAlgebraIsScalarTowerSMulCommClass