Theorems · Theorem · approximation theory
Asymptotics.IsEquivalent.tendsto_atTop_iff
∀ {α : Type u_1} {β : Type u_2} [inst : NormedField β] [inst_1 : LinearOrder β] [IsStrictOrderedRing β] {u v : α → β}
{l : Filter α} [OrderTopology β],
Asymptotics.IsEquivalent l u v → (Filter.Tendsto u l Filter.atTop ↔ Filter.Tendsto v l Filter.atTop)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 169 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.
- LinearOrderstatement and proof · cited by 8,572
- Filterstatement and proof · cited by 8,121
- Filter.Tendstostatement · cited by 3,814
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Filter.atTopstatement · cited by 2,405
- OrderTopologystatement and proof · cited by 1,355
- NormedFieldstatement and proof · cited by 1,084
- Asymptotics.IsEquivalentstatement and proof · cited by 98
- Asymptotics.IsEquivalent.symmproof · cited by 20
- Asymptotics.IsEquivalent.tendsto_atTopproof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.