Theorems · Definition · Lie groups
Circle.exp
C(ℝ, Circle)
The map fun t => exp (t * I) from ℝ to the unit circle in ℂ.
- Defined in
- Mathlib.Analysis.Complex.Circle
- Cited by
- 73 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- ContinuousMapstatement · cited by 2,491
- Complex.ofRealproof · cited by 1,654
- Complex.Iproof · cited by 866
- Complex.expproof · cited by 612
- Circlestatement · cited by 227
Cited by79
Results whose statement or proof uses this declaration.
- Real.fourierCharproof · cited by 59
- Circle.coe_expstatement · cited by 10
- Real.continuous_fourierCharproof · cited by 10
- Real.probCharproof · cited by 10
- Circle.centeredArcproof · cited by 9
- AddCircle.toCircle_zeroproof · cited by 9
- Circle.argPartialEquivproof · cited by 6
- Circle.exp_argstatement and proof · cited by 6
- Circle.periodic_expstatement · cited by 6
- AddCircle.scaled_exp_map_periodicstatement and proof · cited by 6
- Circle.expHomproof · cited by 5
- Circle.exp_zerostatement · cited by 5