Theorems · Inductive type · functional analysis
ContinuousStar
(R : Type u_1) → [TopologicalSpace R] → [Star R] → Prop
Basic hypothesis to talk about a topological space with a continuous star operator.
- Defined in
- Mathlib.Topology.Algebra.Star
- Cited by
- 543 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
- Assumes
- TopologicalSpaceStar
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Starstatement · cited by 496
Cited by603
Results whose statement or proof uses this declaration.
- ContinuousFunctionalCalculusstatement · cited by 331
- NonUnitalContinuousFunctionalCalculusstatement · cited by 275
- cfcstatement · cited by 228
- cfcₙstatement · cited by 187
- cfcHomstatement and proof · cited by 74
- NonUnitalIsometricContinuousFunctionalCalculusstatement · cited by 68
- cfcₙHomstatement and proof · cited by 65
- IsometricContinuousFunctionalCalculusstatement · cited by 62
- cfc_applystatement and proof · cited by 40
- cfcₙ_applystatement and proof · cited by 32
- cfcₙ_apply_of_not_predicatestatement and proof · cited by 29
- ContinuousMap.UniqueHomstatement · cited by 27
Showing the 200 most cited of 603.