Theorems · Theorem · complex analysis
Complex.norm_exp_ofReal
∀ (x : ℝ), ‖Complex.exp ↑x‖ = Real.exp x
- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Complex.ofRealstatement · cited by 1,654
- le_of_ltproof · cited by 1,175
- Real.expstatement and proof · cited by 871
- Complex.expstatement · cited by 612
- Real.exp_posproof · cited by 169
- Complex.ofReal_expproof · cited by 44
- Complex.norm_of_nonnegproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Complex.norm_expproof · cited by 33