Theorems · Theorem · Lie groups
IsTopologicalAddGroup.exist_add_closure_nhds
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] [CompactSpace G]
{W : Set G}, IsClopen W → ∃ T ∈ nhds 0, W + T ⊆ W- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites35
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
- Filterstatement · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- Set.preimageproof · cited by 4,946
- AddGroupstatement and proof · cited by 4,410
- Set.univproof · cited by 3,945
- LE.le.transproof · cited by 3,151
- add_zeroproof · cited by 2,707
- IsOpenproof · cited by 2,400
- SProd.sprodproof · cited by 1,750
- IsTopologicalAddGroupstatement and proof · cited by 1,394
Cited by1
Results whose statement or proof uses this declaration.
- IsTopologicalAddGroup.exists_addNegClosureNhdproof · cited by 1