Theorems · Theorem · real analysis
isLittleO_rpow_exp_atTop
∀ (s : ℝ), (fun x => x ^ s) =o[Filter.atTop] Real.exp
x ^ s = o(exp x) as x → ∞ for any real s.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- one_mulproof · cited by 2,841
- Filter.atTopstatement and proof · cited by 2,405
- Real.expstatement and proof · cited by 871
- Asymptotics.IsLittleOstatement and proof · cited by 375
- one_posproof · cited by 102
- isLittleO_rpow_exp_pos_mul_atTopproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Complex.IsExpCmpFilter.of_isBigO_im_re_rpowproof · cited by 1