Theorems · Theorem · number theory
IsPrimitiveRoot.coe_autToPow_apply
∀ (R : Type u_4) {S : Type u_5} [inst : CommRing S] [inst_1 : IsDomain S] {μ : S} {n : ℕ} (hμ : IsPrimitiveRoot μ n)
[inst_2 : CommRing R] [inst_3 : Algebra R S] [inst_4 : NeZero n] (f : S ≃ₐ[R] S),
↑((IsPrimitiveRoot.autToPow R hμ) f) = ↑⋯.choose- Cited by
- 1 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Unitsstatement · cited by 2,804
- IsDomainstatement and proof · cited by 2,196
- Units.valstatement · cited by 1,966
- AlgEquivstatement and proof · cited by 1,681
- ZModstatement · cited by 1,024
- IsPrimitiveRootstatement and proof · cited by 356
- rootsOfUnitystatement · cited by 118
Cited by1
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.autToPow_specproof · cited by 5