Theorems · Theorem · number theory
rootsOfUnityCircleEquiv_comp_rootsOfUnityAddChar_val
∀ (n : ℕ) [inst : NeZero n] (j : ZMod n),
↑↑((rootsOfUnityCircleEquiv n) ((ZMod.rootsOfUnityAddChar n) j)) =
Complex.exp (2 * ↑Real.pi * Complex.I * ↑j.val / ↑n)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Complexstatement · cited by 5,565
- Subgroupstatement · cited by 3,593
- Unitsstatement · cited by 2,804
- Units.valstatement · cited by 1,966
- Real.pistatement · cited by 1,774
- Complex.ofRealstatement · cited by 1,654
- MulEquivstatement · cited by 1,142
- ZModstatement and proof · cited by 1,024
- Complex.Istatement · cited by 866
- Complex.expstatement · cited by 612
- AddCharstatement · cited by 286
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