Theorems · Theorem · general topology
Real.Angle.coe_toCircle
∀ (θ : Real.Angle), ↑θ.toCircle = ↑θ.cos + ↑θ.sin * Complex.I
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Complexstatement · cited by 5,565
- Submonoidstatement · cited by 3,086
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.Istatement and proof · cited by 866
- Real.Anglestatement and proof · cited by 518
- Complex.cosproof · cited by 279
- Complex.sinproof · cited by 258
- Submonoid.unitSpherestatement · cited by 85
- Real.Angle.cosstatement · cited by 77
- Real.Angle.sinstatement · cited by 75
- Complex.ofReal_cosproof · cited by 43
Cited by3
Results whose statement or proof uses this declaration.
- Complex.rotationproof · cited by 1
- Orientation.kahler_rotation_leftproof · cited by 1
- Orientation.kahler_rotation_rightproof · cited by 1