Theorems · Theorem · Lie groups
Subsemiring.topologicalClosure_mono
∀ {R : Type u_1} [inst : TopologicalSpace R] [inst_1 : Semiring R] [inst_2 : IsSemitopologicalSemiring R]
{s t : Subsemiring R}, s ≤ t → s.topologicalClosure ≤ t.topologicalClosure- Defined in
- Mathlib.Topology.Algebra.Ring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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
- closure_monoproof · cited by 133
- IsSemitopologicalSemiringstatement and proof · cited by 88
- Subsemiring.topologicalClosurestatement · cited by 6
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