Theorems · Theorem · Lie groups
tendsto_neg_nhdsLT_neg
∀ {H : Type x} [inst : TopologicalSpace H] [inst_1 : AddCommGroup H] [inst_2 : PartialOrder H] [IsOrderedAddMonoid H]
[ContinuousNeg H] {a : H}, Filter.Tendsto Neg.neg (nhdsWithin (-a) (Set.Iio (-a))) (nhdsWithin a (Set.Ioi a))- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- AddCommGroupstatement and proof · cited by 12,871
- PartialOrderstatement and proof · cited by 6,410
- Filter.Tendstostatement and proof · cited by 3,814
- nhdsWithinstatement and proof · cited by 1,912
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Ioistatement and proof · cited by 1,463
- Set.Iiostatement and proof · cited by 1,166
- neg_negproof · cited by 960
- ContinuousNegstatement and proof · cited by 119
- tendsto_neg_nhdsLTproof · cited by 2
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