Theorems · Theorem · commutative algebra
PowerSeries.isRestricted_iff
∀ {R : Type u_1} [inst : NormedRing R] (c : ℝ) (f : PowerSeries R),
PowerSeries.IsRestricted c f ↔ Filter.Tendsto (fun t => ‖(PowerSeries.coeff t) f‖ * c ^ t) Filter.cofinite (nhds 0)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- nhdsstatement and proof · cited by 5,554
- Norm.normstatement and proof · cited by 5,413
- Finsuppproof · cited by 5,255
- Filter.Tendstostatement and proof · cited by 3,814
- Equiv.symmproof · cited by 3,681
- Finsupp.singleproof · cited by 943
- NormedRingstatement and proof · cited by 924
- PowerSeriesstatement and proof · cited by 797
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.