Theorems · Theorem · functional analysis
ContinuousFunctionalCalculus.predicate_zero
∀ (R : Type u_1) {A : Type u_2} {p : outParam (A → Prop)} {inst : CommSemiring R} {inst_1 : StarRing R}
{inst_2 : MetricSpace R} {inst_3 : IsTopologicalSemiring R} {inst_4 : ContinuousStar R} {inst_5 : Ring A}
{inst_6 : StarRing A} {inst_7 : TopologicalSpace A} {inst_8 : Algebra R A}
[self : ContinuousFunctionalCalculus R A p], p 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- ContinuousFunctionalCalculus
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
Cited by1
Results whose statement or proof uses this declaration.
- cfc_predicate_zeroproof · cited by 5