Theorems · Theorem · sequences and series
isBigO_pow_pow_of_le_left
∀ {r₁ r₂ : ℝ}, 0 ≤ r₁ → r₁ ≤ r₂ → (fun n => r₁ ^ n) =O[Filter.atTop] fun n => r₂ ^ n- Defined in
- Mathlib.Analysis.SpecificLimits.Normed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Filter.atTopstatement and proof · cited by 2,405
- Asymptotics.IsBigOstatement · cited by 506
- LE.le.eq_or_ltproof · cited by 220
- Asymptotics.isBigO_reflproof · cited by 51
- Asymptotics.IsLittleO.isBigOproof · cited by 35
- isLittleO_pow_pow_of_lt_leftproof · cited by 5
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