Theorems · Theorem · approximation theory
ExpGrowth.expGrowthInf_eventually_monotone
∀ {u v : ℕ → ENNReal}, u ≤ᶠ[Filter.atTop] v → ExpGrowth.expGrowthInf u ≤ ExpGrowth.expGrowthInf 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
- ENNReal.logproof · cited by 72
- Filter.isBounded_ge_of_botproof · cited by 55
- ExpGrowth.expGrowthInfstatement · cited by 38
- Filter.isCobounded_ge_of_topproof · cited by 38
- ENNReal.log_monotoneproof · cited by 14
- EReal.monotone_div_right_of_nonnegproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- ExpGrowth.expGrowthInf_monotoneproof · cited by 10
- ExpGrowth.expGrowthInf_le_of_eventually_leproof · cited by 0
- ExpGrowth.expGrowthInf_of_eventually_geproof · cited by 0