Theorems · Theorem · Lie groups
Circle.exp_zero
Circle.exp 0 = 1
- Defined in
- Mathlib.Analysis.Complex.Circle
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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 · cited by 25,697
- Complexproof · cited by 5,565
- ContinuousMapstatement · cited by 2,491
- MulZeroClass.zero_mulproof · cited by 1,625
- Complex.Iproof · cited by 866
- Complex.expproof · cited by 612
- Circlestatement · cited by 227
- Circle.expstatement · cited by 73
- Complex.exp_zeroproof · cited by 43
- Complex.ofReal_zeroproof · cited by 20
- Circle.coe_expproof · cited by 10
Cited by7
Results whose statement or proof uses this declaration.
- Real.probCharproof · cited by 10
- AddCircle.toCircle_zeroproof · cited by 9
- AddCircle.scaled_exp_map_periodicproof · cited by 6
- Circle.expHomproof · cited by 5
- Circle.exp_two_piproof · cited by 2
- Circle.hasBasis_centeredArc_div_two_powproof · cited by 1
- Real.Angle.toCircle_zeroproof · cited by 0