Theorems · Theorem · Lie groups
AddSubsemigroup.topologicalClosure_mono
∀ {M : Type u_3} [inst : TopologicalSpace M] [inst_1 : AddSemigroup M] [inst_2 : SeparatelyContinuousAdd M]
{s t : AddSubsemigroup M}, s ≤ t → s.topologicalClosure ≤ t.topologicalClosure- Defined in
- Mathlib.Topology.Algebra.Monoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 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
- AddSubsemigroupstatement and proof · cited by 262
- AddSemigroupstatement and proof · cited by 136
- closure_monoproof · cited by 133
- SeparatelyContinuousAddstatement and proof · cited by 83
- AddSubsemigroup.topologicalClosurestatement · cited by 5
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