Theorems · Theorem · approximation theory
Monotone.le_linearGrowthSup_comp
∀ {u : ℕ → EReal} {v : ℕ → ℕ},
Monotone u →
(LinearGrowth.linearGrowthInf fun n => ↑(v n)) ≠ 0 →
(LinearGrowth.linearGrowthInf fun n => ↑(v n)) * LinearGrowth.linearGrowthSup u ≤
LinearGrowth.linearGrowthSup (u ∘ v)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites51
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Bot.botproof · cited by 4,720
- LE.le.transproof · cited by 3,151
- Filter.Eventuallyproof · cited by 3,134
- Filter.atTopproof · 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
- Monotonestatement and proof · cited by 1,397
- Set.Iooproof · cited by 1,214
Cited by2
Results whose statement or proof uses this declaration.
- Monotone.linearGrowthSup_compproof · cited by 2
- Monotone.le_expGrowthSup_compproof · cited by 0