Theorems · Theorem · complex analysis
Complex.norm_exp_sub_sum_le_norm_mul_exp
∀ (x : ℂ) (n : ℕ), ‖Complex.exp x - ∑ m ∈ Finset.range n, x ^ m / ↑m.factorial‖ ≤ ‖x‖ ^ n * Real.exp ‖x‖
- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites45
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
- Complexstatement and proof · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- Finset.sumstatement and proof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- le_reflproof · cited by 2,061
- absproof · cited by 1,814
- Finset.rangestatement and proof · cited by 1,341
- sub_eq_add_negproof · cited by 1,023
- Real.expstatement and proof · cited by 871
- norm_nonnegproof · cited by 725
- Nat.factorialstatement and proof · cited by 616
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