Theorems · Theorem · Lie groups
OpenAddSubgroup.isClosed
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [SeparatelyContinuousAdd G] (U : OpenAddSubgroup G),
IsClosed ↑U- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- HasQuotient.Quotientproof · cited by 2,301
- IsClosedstatement · cited by 1,639
- DiscreteTopologyproof · cited by 373
- SeparatelyContinuousAddstatement and proof · cited by 83
- OpenAddSubgroupstatement and proof · cited by 47
- OpenAddSubgroup.toAddSubgroupproof · cited by 27
- OpenAddSubgroup.isOpenproof · cited by 7
- QuotientAddGroup.discreteTopologyproof · cited by 2
- QuotientAddGroup.t1Space_iffproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- AddSubgroup.isClosed_of_isOpenproof · cited by 3
- OpenAddSubgroup.isClopenproof · cited by 0