Theorems · Theorem · Lie groups
AddSubgroup.isOpen_of_openAddSubgroup
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [SeparatelyContinuousAdd G] (H : AddSubgroup G)
{U : OpenAddSubgroup G}, ↑U ≤ H → IsOpen ↑H- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- AddSubgroupstatement and proof · cited by 3,232
- IsOpenstatement · cited by 2,400
- SeparatelyContinuousAddstatement and proof · cited by 83
- OpenAddSubgroupstatement and proof · cited by 47
- OpenAddSubgroup.toAddSubgroupstatement and proof · cited by 27
- OpenAddSubgroup.isOpenproof · cited by 7
- AddSubgroup.isOpen_monoproof · cited by 4
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