Theorems · Theorem · complex analysis
Complex.isCauSeq_norm_exp
∀ (z : ℂ), IsCauSeq abs fun n => ∑ m ∈ Finset.range n, ‖z ^ m / ↑m.factorial‖
- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
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
- one_mulproof · cited by 2,841
- mul_commproof · cited by 2,262
- le_reflproof · cited by 2,061
- absstatement and proof · cited by 1,814
- Finset.rangestatement and proof · cited by 1,341
- le_of_ltproof · cited by 1,175
- le_transproof · cited by 985
- norm_nonnegproof · cited by 725
Cited by2
Results whose statement or proof uses this declaration.
- Complex.exp_addproof · cited by 55
- Complex.isCauSeq_expproof · cited by 1