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Theorems · Theorem · functional analysis

SpectrumRestricts.mul_comm_iff

∀ {R : Type u_6} {S : Type u_7} {A : Type u_8} [inst : Semifield R] [inst_1 : Field S] [inst_2 : Ring A]
  [inst_3 : Algebra R S] [inst_4 : Algebra R A] [inst_5 : Algebra S A] {a b : A} {f : S → R},
  SpectrumRestricts (a * b) f ↔ SpectrumRestricts (b * a) f
Defined in
Mathlib.Algebra.Algebra.Spectrum.Quasispectrum
Cited by
1 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemifieldFieldRingAlgebraAlgebraAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SpectrumRestricts.mul_comm · cited by 1SpectrumRestricts.mul_commAlgebra · cited by 11388AlgebraRing · cited by 7463RingField · cited by 7404FieldSemifield · cited by 439SemifieldSpectrumRestricts · cited by 51SpectrumRestrictsQuasispectrumRestricts.mul_comm_iff · cited by 2QuasispectrumRestricts.mu…SpectrumRestricts.mul_comm_iffCITED BYCITES

Cites6

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Cited by1

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