Theorems · Theorem · approximation theory
ExpGrowth.expGrowthSup_eventually_monotone
∀ {u v : ℕ → ENNReal}, u ≤ᶠ[Filter.atTop] v → ExpGrowth.expGrowthSup u ≤ ExpGrowth.expGrowthSup v- Defined in
- Mathlib.Analysis.Asymptotics.ExpGrowth
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Filter.atTopstatement and proof · cited by 2,405
- ERealstatement · 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
- ENNReal.logproof · cited by 72
- Filter.isCobounded_le_of_botproof · cited by 58
- ExpGrowth.expGrowthSupstatement · cited by 42
- Filter.limsup_le_limsupproof · cited by 16
- ENNReal.log_monotoneproof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- ExpGrowth.expGrowthSup_monotoneproof · cited by 12
- ExpGrowth.expGrowthSup_le_of_eventually_leproof · cited by 1
- ExpGrowth.expGrowthSup_of_eventually_geproof · cited by 0