Theorems · Theorem · functional analysis
Algebra.elemental.le_centralizer_centralizer
∀ (R : Type u_1) [inst : CommSemiring R] {A : Type u} [inst_1 : TopologicalSpace A] [inst_2 : Semiring A]
[inst_3 : Algebra R A] [inst_4 : IsSemitopologicalSemiring A] [T2Space A] (x : A),
Algebra.elemental R x ≤ Subalgebra.centralizer R ↑(Subalgebra.centralizer R {x})- Defined in
- Mathlib.Topology.Algebra.Algebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement · cited by 8,199
- Subalgebrastatement · cited by 1,353
- T2Spacestatement and proof · cited by 1,351
- IsSemitopologicalSemiringstatement and proof · cited by 88
- Subalgebra.centralizerstatement · cited by 25
- Algebra.elementalstatement · cited by 6
- Subalgebra.topologicalClosure_adjoin_le_centralizer_centralizerproof · cited by 1
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