Theorems · Theorem · Lie groups
Subgroup.isOpen_of_openSubgroup
∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [SeparatelyContinuousMul G] (H : Subgroup G)
{U : OpenSubgroup 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- IsOpenstatement · cited by 2,400
- SeparatelyContinuousMulstatement and proof · cited by 133
- OpenSubgroupstatement and proof · cited by 47
- OpenSubgroup.toSubgroupstatement and proof · cited by 34
- OpenSubgroup.isOpenproof · cited by 7
- Subgroup.isOpen_monoproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.