Theorems · Theorem · complex analysis
Complex.norm_exp_eq_iff_re_eq
∀ {x y : ℂ}, ‖Complex.exp x‖ = ‖Complex.exp y‖ ↔ x.re = y.re- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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.restatement and proof · cited by 882
- Real.expproof · cited by 871
- Complex.expstatement and proof · cited by 612
- Complex.norm_expproof · cited by 33
- Real.exp_eq_expproof · cited by 6
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