Theorems · Definition · geometry
rotation
Circle →* ℂ ≃ₗᵢ[ℝ] ℂ
An element of the unit circle defines a LinearIsometryEquiv from ℂ to itself, by
rotation.
- Defined in
- Mathlib.Analysis.Complex.Isometry
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 165 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.
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- Complexstatement and proof · cited by 5,565
- MonoidHomstatement · cited by 3,629
- LinearEquivproof · cited by 3,317
- LinearIsometryEquivstatement · cited by 748
- Circlestatement and proof · cited by 227
- DistribMulAction.toLinearEquivproof · cited by 8
Cited by11
Results whose statement or proof uses this declaration.
- rotation_applystatement · cited by 2
- det_rotationstatement and proof · cited by 1
- linear_isometry_complexstatement and proof · cited by 1
- toMatrix_rotationstatement and proof · cited by 1
- rotationOf_rotationstatement and proof · cited by 1
- rotation_symmstatement · cited by 1
- IsConformalMap.is_complex_or_conj_linearproof · cited by 1
- rotation_injectivestatement · cited by 0
- rotation_ne_conjLIEstatement and proof · cited by 0
- rotation_transstatement and proof · cited by 0
- linearEquiv_det_rotationstatement and proof · cited by 0