Theorems · Theorem · Lie groups
Filter.map_add_left_nhdsNE
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [SeparatelyContinuousAdd G] {c a : G},
Filter.map (fun x => c + x) (nhdsWithin a {a}ᶜ) = nhdsWithin (c + a) {c + a}ᶜ- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement and proof · cited by 8,121
- Set.imageproof · cited by 5,609
- AddGroupstatement and proof · cited by 4,410
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement and proof · cited by 1,912
- neg_negproof · cited by 960
- Filter.mapstatement and proof · cited by 819
- SeparatelyContinuousAddstatement and proof · cited by 83
- Homeomorph.isEmbeddingproof · cited by 73
Cited by1
Results whose statement or proof uses this declaration.
- hasDerivAt_iff_tendsto_slope_zeroproof · cited by 1