Theorems · Theorem · functional analysis
tendsto_pow_cobounded_cobounded
∀ {α : Type u_1} [inst : SeminormedRing α] [NormOneClass α] [NormMulClass α] {m : ℕ},
m ≠ 0 → Filter.Tendsto (fun x => x ^ m) (Bornology.cobounded α) (Bornology.cobounded α)- Defined in
- Mathlib.Analysis.Normed.Ring.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopproof · cited by 2,405
- Filter.Tendsto.compproof · cited by 560
- SeminormedRingstatement and proof · cited by 446
- Bornology.coboundedstatement and proof · cited by 162
- NormOneClassstatement and proof · cited by 136
- norm_powproof · cited by 106
- NormMulClassstatement and proof · cited by 66
- Filter.tendsto_pow_atTopproof · cited by 14
- tendsto_norm_cobounded_atTopproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_zpow_nhdsNE_zero_coboundedproof · cited by 2