Theorems · Theorem · general topology
Circle.arg_exp
∀ {x : ℝ}, -Real.pi < x → x ≤ Real.pi → (↑(Circle.exp x)).arg = x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Complexstatement and proof · cited by 5,565
- Submonoidstatement · cited by 3,086
- ContinuousMapstatement · cited by 2,491
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- Circlestatement · cited by 227
- Complex.argstatement and proof · cited by 220
- Submonoid.unitSpherestatement · cited by 85
- Circle.expstatement · cited by 73
- Complex.exp_mul_Iproof · cited by 17
Cited by3
Results whose statement or proof uses this declaration.
- Circle.exp_argproof · cited by 6
- Circle.mem_centeredArcproof · cited by 1
- argSelfAdjoint_expUnitaryproof · cited by 0