Theorems · Theorem · number theory
HurwitzKernelBounds.isBigO_exp_neg_mul_of_le
∀ {c d : ℝ}, c ≤ d → (fun t => Real.exp (-d * t)) =O[Filter.atTop] fun t => Real.exp (-c * t)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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 · cited by 2,405
- LT.lt.leproof · cited by 2,189
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- le_of_ltproof · cited by 1,175
- Real.expstatement and proof · cited by 871
- Asymptotics.IsBigOstatement · cited by 506
- mul_le_mul_of_nonneg_rightproof · cited by 301
- Real.exp_posproof · cited by 169
- Real.norm_of_nonnegproof · cited by 135
- Filter.eventually_gt_atTopproof · cited by 90
Cited by2
Results whose statement or proof uses this declaration.
- HurwitzKernelBounds.isBigO_atTop_F_int_oneproof · cited by 1
- HurwitzKernelBounds.isBigO_atTop_F_int_zero_subproof · cited by 1