Theorems · Theorem · field theory
Complex.normSq_ofReal
∀ (r : ℝ), Complex.normSq ↑r = r * r
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement · cited by 5,565
- add_zeroproof · cited by 2,707
- MulZeroClass.mul_zeroproof · cited by 2,091
- Complex.ofRealstatement · cited by 1,654
- MonoidWithZeroHomstatement · cited by 704
- Complex.normSqstatement · cited by 103
Cited by10
Results whose statement or proof uses this declaration.
- Complex.norm_realproof · cited by 105
- ProbabilityTheory.complexMGF_id_gaussianRealproof · cited by 3
- Complex.normSq_natCastproof · cited by 2
- UpperHalfPlane.gl_smul_eq_self_iff_eq_fixedPtproof · cited by 1
- Complex.normSq_intCastproof · cited by 1
- Real.tendsto_integral_gaussian_smulproof · cited by 1
- Complex.HadamardThreeLines.sSupNormIm_scale_leftproof · cited by 1
- Complex.range_normSqproof · cited by 0
- Complex.normSq_ratCastproof · cited by 0