Theorems · Theorem · functional analysis
NonUnitalSubalgebra.isClosed_topologicalClosure
∀ {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]
(s : NonUnitalSubalgebra R A), IsClosed ↑s.topologicalClosure- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement · cited by 8,199
- IsClosedstatement · cited by 1,639
- ContinuousConstSMulstatement and proof · cited by 832
- NonUnitalSemiringstatement and proof · cited by 339
- NonUnitalSubalgebrastatement and proof · cited by 215
- isClosed_closureproof · cited by 195
- IsSemitopologicalSemiringstatement and proof · cited by 88
- NonUnitalSubalgebra.topologicalClosurestatement · cited by 8
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