Theorems · Theorem · approximation theory
Frequently.linearGrowthInf_le
∀ {u : ℕ → EReal} {a : EReal}, (∃ᶠ (n : ℕ) in Filter.atTop, u n ≤ a * ↑n) → LinearGrowth.linearGrowthInf u ≤ a- Cited by
- 2 results in Mathlib
- Foundations
- Depth 139 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.
- LE.le.transproof · cited by 3,151
- Filter.atTopstatement and proof · cited by 2,405
- le_of_ltproof · cited by 1,175
- ERealstatement and proof · cited by 793
- Filter.Frequentlystatement and proof · cited by 414
- mul_le_mul_of_nonneg_rightproof · cited by 301
- Nat.cast_nonneg'proof · cited by 245
- Filter.Frequently.monoproof · cited by 64
- LinearGrowth.linearGrowthInfstatement · cited by 41
- LinearGrowth.linearGrowthInf_le_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Monotone.linearGrowthInf_comp_leproof · cited by 2
- LinearGrowth.linearGrowthInf_const_mul_selfproof · cited by 0