Theorems · Theorem · number theory
IsPrimitiveRoot.zmodEquivZPowers_symm_apply_pow
∀ {R : Type u_4} {k : ℕ} [inst : CommRing R] {ζ : Rˣ} (h : IsPrimitiveRoot ζ k) (i : ℕ),
h.zmodEquivZPowers.symm (Additive.ofMul ⟨ζ ^ i, ⋯⟩) = ↑i- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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 and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Equivstatement · cited by 8,337
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- AddEquivstatement · cited by 1,087
- ZModstatement and proof · cited by 1,024
- AddEquiv.symmstatement and proof · cited by 530
- Additivestatement and proof · cited by 356
- IsPrimitiveRootstatement and proof · cited by 356
- Subgroup.zpowersstatement and proof · cited by 204
- Additive.ofMulstatement and proof · cited by 155
Cited by1
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.zmodEquivZPowers_symm_apply_pow'proof · cited by 0