Theorems · Theorem · special functions
exp_neg_mul_rpow_isLittleO_exp_neg
∀ {p b : ℝ}, 0 < b → 1 < p → (fun x => Real.exp (-b * x ^ p)) =o[Filter.atTop] fun x => Real.exp (-x)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- Filter.atTopstatement and proof · cited by 2,405
- Nat.cast_zeroproof · cited by 1,870
- Set.Ioiproof · cited by 1,463
- LT.lt.ne'proof · cited by 1,417
- one_ne_zeroproof · cited by 885
- Real.expstatement · cited by 871
- neg_mulproof · cited by 654
Cited by2
Results whose statement or proof uses this declaration.
- rpow_mul_exp_neg_mul_rpow_isLittleO_exp_negproof · cited by 1
- exp_neg_mul_sq_isLittleO_exp_negproof · cited by 0