Theorems · Theorem · functional analysis
tendsto_norm_div_self_nhdsNE
∀ {E : Type u_7} [inst : NormedCommGroup E] (a : E),
Filter.Tendsto (fun x => ‖x / a‖) (nhdsWithin a {a}ᶜ) (nhdsWithin 0 (Set.Ioi 0))- Defined in
- Mathlib.Analysis.Normed.Group.Continuity
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedCommGroup
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- Filter.Tendstostatement and proof · cited by 3,814
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement and proof · cited by 1,912
- Set.Ioistatement and proof · cited by 1,463
- NormedCommGroupstatement and proof · cited by 8
- tendsto_norm_inv_mul_self_nhdsNEproof · cited by 1
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