Theorems · Theorem · functional analysis
quasispectrum.mul_comm
∀ {R : Type u_3} {A : Type u_4} [inst : CommRing R] [inst_1 : NonUnitalRing A] [inst_2 : Module R A]
[IsScalarTower R A A] [SMulCommClass R A A] (a b : A), quasispectrum R (a * b) = quasispectrum R (b * a)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- Set.ofPredproof · cited by 6,101
- IsScalarTowerstatement and proof · cited by 3,896
- Monoidproof · cited by 3,887
- Compl.complproof · cited by 2,925
- SMulCommClassstatement and proof · cited by 1,927
- IsUnitproof · cited by 1,602
- spectrumproof · cited by 510
- NonUnitalRingstatement and proof · cited by 422
- quasispectrumstatement and proof · cited by 292
Cited by3
Results whose statement or proof uses this declaration.
- Commute.mul_nonnegproof · cited by 3
- QuasispectrumRestricts.mul_comm_iffproof · cited by 2
- isIdempotentElem_star_mul_self_iff_isIdempotentElem_self_mul_starproof · cited by 0