Theorems · Theorem · Lie groups
Circle.norm_coe
∀ (z : Circle), ‖↑z‖ = 1
- Defined in
- Mathlib.Analysis.Complex.Circle
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 139 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 · cited by 25,697
- Complexstatement · cited by 5,565
- Norm.normstatement · cited by 5,413
- Submonoidstatement · cited by 3,086
- Circlestatement and proof · cited by 227
- Submonoid.unitSpherestatement · cited by 85
- mem_sphere_zero_iff_normproof · cited by 13
Cited by5
Results whose statement or proof uses this declaration.
- Circle.injective_argproof · cited by 2
- MeasureTheory.Integrable.fourier_smulproof · cited by 1
- UnitAddTorus.mFourier_normproof · cited by 1
- Real.fourierCoeff_tsum_comp_addproof · cited by 1
- fourier_normproof · cited by 1