Theorems · Theorem · Lie groups
nhds_mul
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Group G] [IsTopologicalGroup G] (x y : G),
nhds (x * y) = nhds x * nhds y- 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Filterstatement and proof · cited by 8,121
- Groupstatement and proof · cited by 6,238
- nhdsstatement and proof · cited by 5,554
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- Filter.mapproof · cited by 819
- IsTopologicalGroupstatement and proof · cited by 469
- Filter.map₂proof · cited by 61
- Filter.map₂_map_leftproof · cited by 5
- Filter.map₂_map_rightproof · cited by 5
- Filter.map_map₂proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- nhdsMulHomproof · cited by 1