Theorems · Theorem · Lie groups
nhds_add
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup 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
- nhdsstatement and proof · cited by 5,554
- AddGroupstatement and proof · cited by 4,410
- zero_addproof · cited by 2,366
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- Filter.mapproof · cited by 819
- add_assocproof · cited by 746
- Filter.map₂proof · cited by 61
- map_add_left_nhds_zeroproof · cited by 13
- Filter.map₂_map_leftproof · cited by 5
- Filter.map₂_map_rightproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- nhdsAddHomproof · cited by 1