Theorems · Theorem · number theory
MulChar.star_eq_inv
∀ {R : Type u_1} [inst : CommRing R] [Finite Rˣ] (χ : MulChar R ℂ), star χ = χ⁻¹The conjugate of a multiplicative character with values in ℂ is its inverse.
- Defined in
- Mathlib.NumberTheory.MulChar.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Fintypeproof · cited by 7,736
- Complexstatement and proof · cited by 5,565
- Finitestatement and proof · cited by 3,029
- Unitsstatement and proof · cited by 2,804
- Units.valproof · cited by 1,966
- Star.starstatement and proof · cited by 1,082
- nonempty_fintypeproof · cited by 261
- MulCharstatement and proof · cited by 186
- MulChar.extproof · cited by 16
- Complex.norm_eq_one_of_mem_rootsOfUnityproof · cited by 3
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