Theorems · Theorem · number theory
DirichletCharacter.primitiveCharacter_apply_of_isCoprime
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} (χ : DirichletCharacter R n) {a : ℤ},
IsCoprime a ↑n → χ.primitiveCharacter ↑a = χ ↑a- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- ZModstatement · cited by 1,024
- CommMonoidWithZerostatement and proof · cited by 913
- IsCoprimestatement and proof · cited by 321
- DirichletCharacterstatement and proof · cited by 161
- DirichletCharacter.conductorstatement · cited by 29
- DirichletCharacter.conductor_dvd_levelproof · cited by 12
- DirichletCharacter.primitiveCharacterstatement and proof · cited by 11
- DirichletCharacter.changeLevel_primitiveCharacterproof · cited by 7
- DirichletCharacter.changeLevel_eq_cast_of_dvd'proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- DirichletCharacter.mem_subgroupOfPrimitiveMapToOne_iffproof · cited by 0