Theorems · Theorem · number theory
primitiveRoots_zero
∀ {R : Type u_4} [inst : CommRing R] [inst_1 : IsDomain R], primitiveRoots 0 R = ∅- Cited by
- 5 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 and proof · cited by 13,712
- Multisetproof · cited by 2,627
- IsDomainstatement and proof · cited by 2,196
- Finset.filterproof · cited by 949
- IsPrimitiveRootproof · cited by 356
- Multiset.toFinsetproof · cited by 230
- primitiveRootsstatement · cited by 57
- Finset.filter_emptyproof · cited by 23
- Multiset.toFinset_zeroproof · cited by 8
- Polynomial.nthRoots_zeroproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.card_primitiveRootsproof · cited by 4
- isPrimitiveRoot_of_mem_primitiveRootsproof · cited by 3
- Polynomial.cyclotomic'_zeroproof · cited by 3
- Complex.card_primitiveRootsproof · cited by 2
- IsPrimitiveRoot.is_roots_of_minpolyproof · cited by 1