Theorems · Theorem · number theory
DirichletCharacter.conductor_inv
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} (χ : DirichletCharacter R n), χ⁻¹.conductor = χ.conductorThe conductor of χ⁻¹ equals the conductor of χ.
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- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidWithZero
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZModstatement · cited by 1,024
- CommMonoidWithZerostatement and proof · cited by 913
- inv_invproof · cited by 494
- DirichletCharacterstatement and proof · cited by 161
- DirichletCharacter.conductorstatement and proof · cited by 29
- dvd_antisymmproof · cited by 23
- zpow_neg_oneproof · cited by 11
- DirichletCharacter.conductor_zpow_dvdproof · cited by 2
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