Theorems · Theorem · number theory
ZMod.toCircle_intCast
∀ {N : ℕ} [inst : NeZero N] (j : ℤ), ↑(ZMod.toCircle ↑j) = Complex.exp (2 * ↑Real.pi * Complex.I * ↑j / ↑N)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
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 and proof · cited by 5,565
- Submonoidstatement · cited by 3,086
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- ZModstatement and proof · cited by 1,024
- pow_oneproof · cited by 894
- Complex.Istatement and proof · cited by 866
- Complex.expstatement and proof · cited by 612
- AddCharstatement and proof · cited by 286
Cited by2
Results whose statement or proof uses this declaration.
- ZMod.toCircle_natCastproof · cited by 2
- ZMod.stdAddChar_coeproof · cited by 0