Theorems · Theorem · functional analysis
cfc_predicate_zero
∀ (R : Type u_1) {A : Type u_2} {p : A → Prop} [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : MetricSpace R]
[inst_3 : IsTopologicalSemiring R] [inst_4 : ContinuousStar R] [inst_5 : TopologicalSpace A] [inst_6 : Ring A]
[inst_7 : StarRing A] [inst_8 : Algebra R A] [instCFC : ContinuousFunctionalCalculus R A p], p 0- Cited by
- 5 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
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.
- TopologicalSpacestatement and proof · cited by 24,529
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Ringstatement and proof · cited by 7,463
- StarRingstatement and proof · cited by 1,686
- MetricSpacestatement and proof · cited by 1,684
- ContinuousStarstatement and proof · cited by 543
- IsTopologicalSemiringstatement and proof · cited by 442
- ContinuousFunctionalCalculusstatement and proof · cited by 331
- ContinuousFunctionalCalculus.predicate_zeroproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- cfc_predicateproof · cited by 6
- RCLike.nonUnitalContinuousFunctionalCalculusproof · cited by 2
- cfc_predicate_algebraMapproof · cited by 2
- CFC.spectrum_algebraMap_eqproof · cited by 2
- CFC.spectrum_algebraMap_subsetproof · cited by 1