Theorems · Theorem · Lie groups
tendsto_mabs_nhdsNE_one
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : CommGroup G] [inst_2 : LinearOrder G] [IsOrderedMonoid G]
[OrderTopology G], Filter.Tendsto mabs (nhdsWithin 1 {1}ᶜ) (nhdsWithin 1 (Set.Ioi 1))- Defined in
- Mathlib.Topology.Algebra.Order.Group
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- LinearOrderstatement and proof · cited by 8,572
- Filter.Tendstostatement · cited by 3,814
- Compl.complstatement · cited by 2,925
- nhdsWithinstatement · cited by 1,912
- Set.Ioistatement · cited by 1,463
- OrderTopologystatement and proof · cited by 1,355
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- mabsstatement · cited by 148
- Continuous.tendsto'proof · cited by 53
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