Theorems · Theorem · Lie groups
tendsto_inv_nhdsLE_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.Iic a⁻¹)) (nhdsWithin a (Set.Ici a))- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.Iicstatement and proof · cited by 1,111
- Set.Icistatement and proof · cited by 1,070
- 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_nhdsLEproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_inv_nhdsWithin_Iic_invproof · cited by 0