Theorems · Theorem · Lie groups
OpenAddSubgroup.isClopen
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [SeparatelyContinuousAdd G] (U : OpenAddSubgroup G),
IsClopen ↑U- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- AddGroupstatement and proof · cited by 4,410
- IsClopenstatement · cited by 189
- SeparatelyContinuousAddstatement and proof · cited by 83
- OpenAddSubgroupstatement and proof · cited by 47
- OpenAddSubgroup.isOpenproof · cited by 7
- OpenAddSubgroup.isClosedproof · cited by 3
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