Theorems · Theorem · complex analysis
Complex.nnnorm_real
∀ (r : ℝ), ‖↑r‖₊ = ‖r‖₊
- Defined in
- Mathlib.Analysis.Complex.Norm
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 155 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 · cited by 5,565
- NNRealstatement · cited by 4,310
- Complex.ofRealstatement · cited by 1,654
- NNNorm.nnnormstatement · cited by 952
- NNReal.eqproof · cited by 201
- Complex.norm_realproof · cited by 105
Cited by6
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasisproof · cited by 4
- Real.one_div_sub_pow_hasFPowerSeriesOnBall_zeroproof · cited by 2
- Polynomial.sub_one_pow_totient_lt_cyclotomic_evalproof · cited by 2
- Polynomial.cyclotomic_eval_lt_add_one_pow_totientproof · cited by 1
- ModularFormClass.exists_boundproof · cited by 1
- Complex.nnnorm_ratCastproof · cited by 0