Theorems · Theorem · number theory
rexp_neg_quadratic_isLittleO_rpow_atTop
∀ {a : ℝ}, a < 0 → ∀ (b s : ℝ), (fun x => Real.exp (a * x ^ 2 + b * x)) =o[Filter.atTop] fun x => x ^ s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- mul_oneproof · cited by 3,885
- Filter.Tendstoproof · cited by 3,814
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- Filter.atTopstatement and proof · cited by 2,405
- pow_oneproof · cited by 894
- Real.expstatement and proof · cited by 871
- zero_lt_oneproof · cited by 598
- Asymptotics.IsLittleOstatement and proof · cited by 375
- Filter.tendsto_idproof · cited by 180
- neg_posproof · cited by 74
Cited by1
Results whose statement or proof uses this declaration.
- cexp_neg_quadratic_isLittleO_rpow_atTopproof · cited by 1