Theorems · Theorem · Lie groups
Circle.exp_add
∀ (x y : ℝ), Circle.exp (x + y) = Circle.exp x * Circle.exp y
- Defined in
- Mathlib.Analysis.Complex.Circle
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- 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
- add_mulproof · cited by 363
- Circlestatement · cited by 227
- Complex.ofReal_addproof · cited by 94
- Circle.expstatement · cited by 73
- Complex.exp_addproof · cited by 55
Cited by5
Results whose statement or proof uses this declaration.
- Real.probCharproof · cited by 10
- Circle.expHomproof · cited by 5
- AddCircle.toCircle_addproof · cited by 4
- Real.Angle.toCircle_addproof · cited by 0
- Circle.exp_angleDiff_mulproof · cited by 0