Mathlib Map

Theorems · Theorem · number theory

IsPrimitiveRoot.primitiveRoots_one

∀ {R : Type u_4} [inst : CommRing R] [inst_1 : IsDomain R], primitiveRoots 1 R = {1}
Defined in
Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots
Cited by
2 results in Mathlib
Foundations
Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsDomain
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Polynomial.cyclotomic'_one · cited by 1Polynomial.cyclotomic'_onenthRootsFinset_eq_of_prime · cited by 1nthRootsFinset_eq_of_primeCommRing · cited by 17173CommRingFinset · cited by 13712FinsetIsDomain · cited by 2196IsDomainzero_lt_one · cited by 598zero_lt_oneprimitiveRoots · cited by 57primitiveRootsmem_primitiveRoots · cited by 18mem_primitiveRootsFinset.eq_singleton_iff_unique_mem · cited by 7Finset.eq_singleton_iff_u…IsPrimitiveRoot.one_right_iff · cited by 2IsPrimitiveRoot.one_right…IsPrimitiveRoot.primitiveRoot…CITED BYCITES

Cites8

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.