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Theorems · Theorem · number theory

DirichletCharacter.primitiveCharacter_isPrimitive

∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} (χ : DirichletCharacter R n), χ.primitiveCharacter.IsPrimitive
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.primitiveCharacter_one · cited by 0DirichletCharacter.primit…DirichletCharacter.primitive_mul_isPrimitive · cited by 0DirichletCharacter.primit…le_antisymm · cited by 2068le_antisymmCommMonoidWithZero · cited by 913CommMonoidWithZeroDirichletCharacter · cited by 161DirichletCharacterDirichletCharacter.conductor · cited by 29DirichletCharacter.conduc…DirichletCharacter.conductor_dvd_level · cited by 12DirichletCharacter.conduc…DirichletCharacter.primitiveCharacter · cited by 11DirichletCharacter.primit…DirichletCharacter.IsPrimitive · cited by 9DirichletCharacter.IsPrim…DirichletCharacter.conductor_eq_zero_iff_level_eq_zero · cited by 4DirichletCharacter.conduc…DirichletCharacter.conductor_mem_conductorSet · cited by 3DirichletCharacter.conduc…DirichletCharacter.isPrimitive_def · cited by 3DirichletCharacter.isPrim…DirichletCharacter.conductor_le_conductor_mem_conductorSet · cited by 1DirichletCharacter.conduc…DirichletCharacter.primitiveC…CITED BYCITES

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.