Theorems · Theorem · Lie groups
mapClusterPt_atTop_pow_iff_mem_topologicalClosure_zpowers
∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [CompactSpace G] [inst_3 : IsTopologicalGroup G]
{x y : G}, (MapClusterPt x Filter.atTop fun x => y ^ x) ↔ x ∈ (Subgroup.zpowers y).topologicalClosure- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- Groupstatement and proof · cited by 6,238
- Set.rangeproof · cited by 4,705
- Subgroupstatement · cited by 3,593
- Filter.atTopstatement and proof · cited by 2,405
- closureproof · cited by 1,254
- CompactSpacestatement and proof · cited by 593
- IsTopologicalGroupstatement and proof · cited by 469
- Subgroup.zpowersstatement · cited by 204
- List.TFAE.outproof · cited by 177
- MapClusterPtstatement and proof · cited by 78
- Subgroup.topologicalClosurestatement · cited by 12
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