Theorems · Theorem · special functions
Complex.exp_sub_sum_range_isBigO_pow
∀ (n : ℕ), (fun x => Complex.exp x - ∑ i ∈ Finset.range n, x ^ i / ↑i.factorial) =O[nhds 0] fun x => x ^ n
- Defined in
- Mathlib.Analysis.SpecialFunctions.Exp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Set.ofPredproof · cited by 6,101
- Complexstatement and proof · cited by 5,565
- nhdsstatement and proof · cited by 5,554
- Norm.normproof · cited by 5,413
- Finset.sumstatement and proof · cited by 5,195
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- LT.lt.leproof · cited by 2,189
- Finset.rangestatement and proof · cited by 1,341
- pow_zeroproof · cited by 1,094
Cited by2
Results whose statement or proof uses this declaration.
- Real.exp_sub_sum_range_isBigO_powproof · cited by 1
- Complex.exp_sub_sum_range_succ_isLittleO_powproof · cited by 0