Theorems · Theorem · Lie groups
IsTopologicalAddGroup.exists_addNegClosureNhd
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] [CompactSpace G]
{W : Set G}, IsClopen W → ∃ T, IsTopologicalAddGroup.addNegClosureNhd T W- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- nhdsproof · cited by 5,554
- AddGroupstatement and proof · cited by 4,410
- IsOpenproof · cited by 2,400
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- neg_negproof · cited by 960
- CompactSpacestatement and proof · cited by 593
- IsOpen.mem_nhdsproof · cited by 470
- Set.inter_subset_leftproof · cited by 360
- Set.inter_commproof · cited by 291
- IsClopenstatement and proof · cited by 189
Cited by1
Results whose statement or proof uses this declaration.
- IsTopologicalAddGroup.exist_openAddSubgroup_sub_clopen_nhds_of_zeroproof · cited by 1