Theorems · Theorem · Lie groups
Filter.map_divRight_nhds
∀ {G : Type w} [inst : Group G] [inst_1 : TopologicalSpace G] [IsTopologicalGroup G] {c a : G},
Filter.map (fun x => x / c) (nhds a) = nhds (a / c)- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement and proof · cited by 8,121
- Groupstatement and proof · cited by 6,238
- nhdsstatement and proof · cited by 5,554
- Filter.mapstatement and proof · cited by 819
- IsTopologicalGroupstatement and proof · cited by 469
- Homeomorph.map_nhds_eqproof · cited by 31
- Homeomorph.divRightproof · cited by 10
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