Theorems · Theorem · Lie groups
tendsto_abs_nhdsNE_zero
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddCommGroup G] [inst_2 : LinearOrder G] [IsOrderedAddMonoid G]
[OrderTopology G], Filter.Tendsto abs (nhdsWithin 0 {0}ᶜ) (nhdsWithin 0 (Set.Ioi 0))- Defined in
- Mathlib.Topology.Algebra.Order.Group
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Filter.Tendstostatement · cited by 3,814
- Compl.complstatement · cited by 2,925
- nhdsWithinstatement · cited by 1,912
- absstatement · cited by 1,814
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Ioistatement · cited by 1,463
- OrderTopologystatement and proof · cited by 1,355
- abs_zeroproof · cited by 88
Cited by2
Results whose statement or proof uses this declaration.
- Real.tendsto_log_nhdsNE_zeroproof · cited by 8
- tendsto_log_mul_self_nhdsLT_zeroproof · cited by 2