linear_isometry_complex
∀ (f : ℂ ≃ₗᵢ[ℝ] ℂ), ∃ a, f = rotation a ∨ f = Complex.conjLIE.trans (rotation a)
- Defined in
- Mathlib.Analysis.Complex.Isometry
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- MonoidHomstatement · cited by 3,629
- sub_zeroproof · cited by 938
- LinearIsometryEquivstatement and proof · cited by 748
- Metric.sphereproof · cited by 371
- LinearIsometryEquiv.symmproof · cited by 287
- inv_mul_cancel₀proof · cited by 267
- Circlestatement and proof · cited by 227
Cited by1
Results whose statement or proof uses this declaration.
- IsConformalMap.is_complex_or_conj_linearproof · cited by 1