Theorems · Theorem · complex analysis
Complex.norm_exp_le_exp_norm
∀ (x : ℂ), ‖Complex.exp x‖ ≤ Real.exp ‖x‖
- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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.sumproof · cited by 5,195
- Finset.rangeproof · cited by 1,341
- sub_zeroproof · cited by 938
- Real.expstatement and proof · cited by 871
- Nat.factorialproof · cited by 616
- Complex.expstatement and proof · cited by 612
- Normproof · cited by 512
- Complex.norm_exp_sub_sum_le_exp_norm_sub_sumproof · cited by 1
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