Theorems · Theorem · functional analysis
tendsto_norm_inv_mul_self_nhdsGE
∀ {E : Type u_4} [inst : SeminormedGroup E] (x : E),
Filter.Tendsto (fun a => ‖a⁻¹ * x‖) (nhds x) (nhdsWithin 0 (Set.Ici 0))- Defined in
- Mathlib.Analysis.Normed.Group.Continuity
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedGroup
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- nhdsstatement and proof · cited by 5,554
- Norm.normstatement · cited by 5,413
- Filter.Tendstostatement · cited by 3,814
- Filter.Eventuallyproof · cited by 3,134
- nhdsWithinstatement · cited by 1,912
- Set.Icistatement · cited by 1,070
- SeminormedGroupstatement and proof · cited by 250
- tendsto_nhdsWithin_iffproof · cited by 37
- tendsto_norm_inv_mul_selfproof · cited by 3
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