Theorems · Theorem · complex analysis
Complex.exp_def
∀ (z : ℂ), Complex.exp z = (Complex.exp' z).lim
- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Norm.normstatement · cited by 5,413
- Complex.expstatement · cited by 612
- CauSeq.limstatement and proof · cited by 35
- Complex.exp'statement and proof · cited by 9
Cited by9
Results whose statement or proof uses this declaration.
- Complex.exp_addproof · cited by 55
- Complex.exp_zeroproof · cited by 43
- Complex.exp_eq_exp_ℂproof · cited by 8
- Complex.exp_boundproof · cited by 6
- Real.sum_le_exp_of_nonnegproof · cited by 5
- Complex.exp_conjproof · cited by 4
- Complex.norm_exp_sub_sum_le_exp_norm_sub_sumproof · cited by 1
- Complex.norm_exp_sub_sum_le_norm_mul_expproof · cited by 0
- Complex.exp_bound'proof · cited by 0