Theorems · Theorem · field theory
tendsto_norm_inv_nhdsNE_zero_atTop
∀ {α : Type u_1} [inst : NormedDivisionRing α], Filter.Tendsto (fun x => ‖x⁻¹‖) (nhdsWithin 0 {0}ᶜ) Filter.atTop- Defined in
- Mathlib.Analysis.Normed.Field.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedDivisionRing
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Cites11
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 · cited by 3,814
- Compl.complstatement · cited by 2,925
- Filter.atTopstatement · cited by 2,405
- nhdsWithinstatement · cited by 1,912
- Filter.Tendsto.compproof · cited by 560
- NormedDivisionRingstatement and proof · cited by 360
- tendsto_norm_cobounded_atTopproof · cited by 11
- Filter.tendsto_inv₀_nhdsNE_zeroproof · cited by 3
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