Theorems · Theorem · Lie groups
nhds_neg
∀ (G : Type w) [inst : TopologicalSpace G] [inst_1 : InvolutiveNeg G] [ContinuousNeg G] (a : G), nhds (-a) = -nhds a
- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 8,121
- nhdsstatement · cited by 5,554
- InvolutiveNegstatement and proof · cited by 151
- ContinuousNegstatement and proof · cited by 119
- Homeomorph.map_nhds_eqproof · cited by 31
- Homeomorph.negproof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- IsOpen.smul_sphereproof · cited by 0