Theorems · Theorem · functional analysis
Prod.quasispectrum_eq
∀ {A : Type u_2} {B : Type u_3} {R : Type u_4} [inst : CommSemiring R] [inst_1 : NonUnitalRing A]
[inst_2 : NonUnitalRing B] [inst_3 : Module R A] [inst_4 : Module R B] (a : A) (b : B),
quasispectrum R (a, b) = quasispectrum R a ∪ quasispectrum R b- Defined in
- Mathlib.Algebra.Algebra.Spectrum.Pi
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- Set.ofPredproof · cited by 6,101
- Unitsproof · cited by 2,804
- Set.extproof · cited by 2,266
- Units.valproof · cited by 1,966
- IsUnitproof · cited by 1,602
- NonUnitalRingstatement and proof · cited by 422
- quasispectrumstatement and proof · cited by 292
- IsUnit.unitproof · cited by 252
- compl_injectiveproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- cfcₙ_map_prodproof · cited by 1