Theorems · Theorem · complex analysis
Complex.norm_intCast
∀ (n : ℤ), ‖↑n‖ = |↑n|
- Defined in
- Mathlib.Analysis.Complex.Norm
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- absstatement and proof · cited by 1,814
- Complex.norm_realproof · cited by 105
- Real.norm_eq_absproof · cited by 88
- Complex.ofReal_intCastproof · cited by 6
Cited by12
Results whose statement or proof uses this declaration.
- Int.cast_complex_isTheta_cast_realproof · cited by 2
- summable_jacobiTheta₂'_term_iffproof · cited by 2
- ArithmeticFunction.LSeriesSummable_moebius_iffproof · cited by 2
- summable_bernoulli_fourierproof · cited by 1
- norm_jacobiTheta₂'_term_leproof · cited by 1
- Complex.nnnorm_intCastproof · cited by 1
- Polynomial.norm_leadingCoeff_eq_one_of_mahlerMeasure_eq_oneproof · cited by 1
- Polynomial.abs_leadingCoeff_eq_one_of_mahlerMeasure_eq_oneproof · cited by 1
- Polynomial.one_le_mahlerMeasure_of_ne_zeroproof · cited by 0
- Complex.norm_int_of_nonnegproof · cited by 0
- NumberField.house_intCastproof · cited by 0
- NumberField.InfinitePlace.map_intCastproof · cited by 0