Theorems · Theorem · Lie groups
MonoidHom.tendsto_coe_cofinite_of_discrete
∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [IsTopologicalGroup G] [T2Space G] {H : Type u_2}
[inst_4 : Group H] {f : H →* G},
Function.Injective ⇑f → IsDiscrete ↑f.range → Filter.Tendsto (⇑f) Filter.cofinite (Filter.cocompact G)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Filter.Tendstostatement · cited by 3,814
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement · cited by 3,593
- T2Spacestatement and proof · cited by 1,351
- Filter.Tendsto.compproof · cited by 560
- IsTopologicalGroupstatement and proof · cited by 469
- MonoidHom.rangestatement and proof · cited by 314
- Filter.cofinitestatement · cited by 251
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