Theorems · Theorem · Lie groups
Subring.topologicalClosure_mono
∀ {R : Type u_1} [inst : TopologicalSpace R] [inst_1 : Ring R] [inst_2 : IsSemitopologicalRing R] {s t : Subring R},
s ≤ t → s.topologicalClosure ≤ t.topologicalClosure- Defined in
- Mathlib.Topology.Algebra.Ring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 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
- Ringstatement and proof · cited by 7,463
- Subringstatement and proof · cited by 602
- closure_monoproof · cited by 133
- IsSemitopologicalRingstatement and proof · cited by 130
- Subring.topologicalClosurestatement · cited by 4
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