Theorems · Theorem · functional analysis
spectrum.resolventSet_of_subsingleton
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : Ring A] [inst_2 : Algebra R A] [Subsingleton A] (a : A),
resolventSet R a = Set.univ- Defined in
- Mathlib.Algebra.Algebra.Spectrum.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Ringstatement and proof · cited by 7,463
- Set.ofPredproof · cited by 6,101
- Algebra.algebraMapproof · cited by 4,706
- Set.univstatement and proof · cited by 3,945
- IsUnitproof · cited by 1,602
- resolventSetstatement · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- spectrum.of_subsingletonproof · cited by 10