Theorems · Theorem · Lie groups
AddSubmonoid.isClosed_topologicalClosure
∀ {M : Type u_3} [inst : TopologicalSpace M] [inst_1 : AddMonoid M] [inst_2 : SeparatelyContinuousAdd M]
(s : AddSubmonoid M), IsClosed ↑s.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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- SetLike.coestatement · cited by 8,199
- AddMonoidstatement and proof · cited by 2,864
- IsClosedstatement · cited by 1,639
- AddSubmonoidstatement and proof · cited by 1,178
- isClosed_closureproof · cited by 195
- SeparatelyContinuousAddstatement and proof · cited by 83
- AddSubmonoid.topologicalClosurestatement · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.