Theorems · Theorem · functional analysis
Subsemiring.topologicalClosure.congr_simp
∀ {R : Type u_1} [inst : TopologicalSpace R] [inst_1 : Semiring R] [inst_2 : IsSemitopologicalSemiring R]
(s s_1 : Subsemiring R), s = s_1 → s.topologicalClosure = s_1.topologicalClosure- Defined in
- Mathlib.Topology.Algebra.Algebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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
- Semiringstatement and proof · cited by 13,802
- Subsemiringstatement and proof · cited by 456
- IsSemitopologicalSemiringstatement and proof · cited by 88
- Subsemiring.topologicalClosurestatement and proof · cited by 6
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