Theorems · Theorem · Lie groups
mapClusterPt_self_zsmul_atTop_nsmul
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [CompactSpace G] [IsTopologicalAddGroup G] (x : G)
(m : ℤ), MapClusterPt (m • x) Filter.atTop fun x_1 => x_1 • x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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
- AddGroupstatement and proof · cited by 4,410
- Filter.Tendstoproof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- sub_eq_add_negproof · cited by 1,023
- Filter.mapproof · cited by 819
- ContinuousAtproof · cited by 697
- CompactSpacestatement and proof · cited by 593
- Filter.Eventually.of_forallproof · cited by 526
- Filter.tendsto_idproof · cited by 180
- MapClusterPtstatement and proof · cited by 78
Cited by3
Results whose statement or proof uses this declaration.
- mapClusterPt_atTop_nsmul_tfaeproof · cited by 2
- mapClusterPt_self_atTop_nsmulproof · cited by 0
- mapClusterPt_zero_atTop_nsmulproof · cited by 0