Theorems · Theorem · approximation theory
LinearGrowth.linearGrowthSup_eventually_monotone
∀ {u v : ℕ → EReal}, u ≤ᶠ[Filter.atTop] v → LinearGrowth.linearGrowthSup u ≤ LinearGrowth.linearGrowthSup v- Cited by
- 3 results in Mathlib
- Foundations
- Depth 135 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.
- Filter.atTopstatement and proof · cited by 2,405
- ERealstatement and proof · cited by 793
- Filter.Eventually.monoproof · cited by 646
- Filter.EventuallyLEstatement and proof · cited by 383
- Nat.cast_nonneg'proof · cited by 245
- Filter.isBounded_le_of_topproof · cited by 75
- Filter.isCobounded_le_of_botproof · cited by 58
- LinearGrowth.linearGrowthSupstatement · cited by 38
- Filter.limsup_le_limsupproof · cited by 16
- EReal.monotone_div_right_of_nonnegproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- Monotone.linearGrowthSup_compproof · cited by 2
- LinearGrowth.linearGrowthSup_le_of_eventually_leproof · cited by 0
- LinearGrowth.linearGrowthSup_monotoneproof · cited by 0