Theorems · Theorem · number theory
IsPrimitiveRoot.toRootsOfUnity.congr_simp
∀ {M : Type u_1} [inst : CommMonoid M] {μ μ_1 : M} (e_μ : μ = μ_1) {n : ℕ} [inst_1 : NeZero n]
(h : IsPrimitiveRoot μ n), h.toRootsOfUnity = ⋯.toRootsOfUnity- Defined in
- Mathlib.NumberTheory.Cyclotomic.Gal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext
- Assumes
- CommMonoidNeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Subgroupstatement · cited by 3,593
- Unitsstatement · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- IsPrimitiveRootstatement and proof · cited by 356
- rootsOfUnitystatement · cited by 118
- IsPrimitiveRoot.toRootsOfUnitystatement and proof · cited by 9
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.