Theorems · Theorem · functional analysis
NonUnitalSubalgebra.topologicalClosure_adjoin_le_centralizer_centralizer
∀ (R : Type u_1) {A : Type u_2} [inst : CommSemiring R] [inst_1 : TopologicalSpace A] [inst_2 : NonUnitalSemiring A]
[inst_3 : Module R A] [inst_4 : ContinuousConstSMul R A] [inst_5 : IsSemitopologicalSemiring A]
[inst_6 : IsScalarTower R A A] [inst_7 : SMulCommClass R A A] [T2Space A] (s : Set A),
(NonUnitalAlgebra.adjoin R s).topologicalClosure ≤
NonUnitalSubalgebra.centralizer R ↑(NonUnitalSubalgebra.centralizer R s)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement and proof · cited by 8,199
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- T2Spacestatement and proof · cited by 1,351
- ContinuousConstSMulstatement and proof · cited by 832
- NonUnitalSemiringstatement and proof · cited by 339
- NonUnitalSubalgebrastatement · cited by 215
- IsSemitopologicalSemiringstatement and proof · cited by 88
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalAlgebra.elemental.le_centralizer_centralizerproof · cited by 0