Theorems · Theorem · Lie groups
tendsto_inv_nhdsGT_inv
∀ {H : Type x} [inst : TopologicalSpace H] [inst_1 : CommGroup H] [inst_2 : PartialOrder H] [IsOrderedMonoid H]
[ContinuousInv H] {a : H}, Filter.Tendsto Inv.inv (nhdsWithin a⁻¹ (Set.Ioi a⁻¹)) (nhdsWithin a (Set.Iio 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
Around this declaration
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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
- PartialOrderstatement and proof · cited by 6,410
- Filter.Tendstostatement and proof · cited by 3,814
- nhdsWithinstatement and proof · cited by 1,912
- Set.Ioistatement and proof · cited by 1,463
- Set.Iiostatement and proof · cited by 1,166
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- inv_invproof · cited by 494
- ContinuousInvstatement and proof · cited by 89
- tendsto_inv_nhdsGTproof · cited by 1
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