Theorems · Theorem · approximation theory
LinearGrowth.le_linearGrowthInf_comp
∀ {u : ℕ → EReal} {v : ℕ → ℕ},
0 ≤ᶠ[Filter.atTop] u →
Filter.Tendsto v Filter.atTop Filter.atTop →
(LinearGrowth.linearGrowthInf fun n => ↑(v n)) * LinearGrowth.linearGrowthInf u ≤
LinearGrowth.linearGrowthInf (u ∘ v)- Cited by
- 2 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.
Cites32
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.Eventuallyproof · cited by 3,134
- Filter.atTopstatement and proof · cited by 2,405
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- Filter.univ_mem'proof · cited by 1,672
- mul_assocproof · cited by 1,667
- Filter.mp_memproof · cited by 1,537
- Set.Iooproof · cited by 1,214
- le_of_ltproof · cited by 1,175
- ERealstatement and proof · cited by 793
- Filter.EventuallyLEstatement and proof · cited by 383
Cited by2
Results whose statement or proof uses this declaration.
- Monotone.linearGrowthInf_compproof · cited by 2
- ExpGrowth.le_expGrowthInf_compproof · cited by 0