Theorems · Theorem · approximation theory
Asymptotics.superpolynomialDecay_param_mul_iff
∀ {α : Type u_1} {β : Type u_2} {l : Filter α} {k : α → β} (f : α → β) [inst : TopologicalSpace β] [inst_1 : Field β]
[inst_2 : LinearOrder β] [IsStrictOrderedRing β] [OrderTopology β],
Filter.Tendsto k l Filter.atTop →
(Asymptotics.SuperpolynomialDecay l k (k * f) ↔ Asymptotics.SuperpolynomialDecay l k f)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- LinearOrderstatement and proof · cited by 8,572
- Filterstatement and proof · cited by 8,121
- Fieldstatement and proof · cited by 7,404
- Filter.Tendstostatement and proof · cited by 3,814
- one_mulproof · cited by 2,841
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Filter.atTopstatement and proof · cited by 2,405
- OrderTopologystatement and proof · cited by 1,355
- Filter.Eventually.monoproof · cited by 646
- inv_mul_cancel₀proof · cited by 267
- Asymptotics.SuperpolynomialDecaystatement and proof · cited by 36
Cited by2
Results whose statement or proof uses this declaration.
- Asymptotics.superpolynomialDecay_param_pow_mul_iffproof · cited by 1
- Asymptotics.superpolynomialDecay_mul_param_iffproof · cited by 0