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Theorems · Definition · number theory

DirichletCharacter.primitive_mul

{R : Type u_1} →
  [inst : CommMonoidWithZero R] →
    {n m : ℕ} →
      (χ₁ : DirichletCharacter R n) → (χ₂ : DirichletCharacter R m) → DirichletCharacter R (χ₁.mul χ₂).conductor

Primitive character associated to multiplication of Dirichlet characters, after changing both levels to the same

Defined in
Mathlib.NumberTheory.DirichletCharacter.Basic
Cited by
2 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidWithZero
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DirichletCharacter.primitive_mul_isPrimitive · cited by 0DirichletCharacter.primit…DirichletCharacter.mul_def · cited by 0DirichletCharacter.mul_defCommMonoidWithZero · cited by 913CommMonoidWithZeroDirichletCharacter · cited by 161DirichletCharacterDirichletCharacter.conductor · cited by 29DirichletCharacter.conduc…DirichletCharacter.primitiveCharacter · cited by 11DirichletCharacter.primit…DirichletCharacter.mul · cited by 3DirichletCharacter.mulDirichletCharacter.primitive_…CITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.