Theorems · Theorem · number theory
IsPrimitiveRoot.disjoint
∀ {R : Type u_4} [inst : CommRing R] [inst_1 : IsDomain R] {k l : ℕ},
k ≠ l → Disjoint (primitiveRoots k R) (primitiveRoots l R)The sets primitiveRoots k R are pairwise disjoint.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Finsetstatement · cited by 13,712
- Disjointstatement · cited by 2,201
- IsDomainstatement and proof · cited by 2,196
- primitiveRootsstatement and proof · cited by 57
- Finset.disjoint_leftproof · cited by 50
- IsPrimitiveRoot.uniqueproof · cited by 8
- isPrimitiveRoot_of_mem_primitiveRootsproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.prod_cyclotomic'_eq_X_pow_sub_oneproof · cited by 3