Theorems · Theorem · number theory
IsPrimitiveRoot.zmodEquivZPowers_apply_coe_int
∀ {R : Type u_4} {k : ℕ} [inst : CommRing R] {ζ : Rˣ} (h : IsPrimitiveRoot ζ k) (i : ℤ),
h.zmodEquivZPowers ↑i = Additive.ofMul ⟨ζ ^ i, ⋯⟩- Cited by
- 3 results in Mathlib
- Foundations
- Depth 64 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.
Cites19
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 and proof · cited by 1,087
- ZModstatement and proof · cited by 1,024
- Additivestatement and proof · cited by 356
- IsPrimitiveRootstatement and proof · cited by 356
- Subgroup.zpowersstatement and proof · cited by 204
- AddMonoidHom.kerproof · cited by 158
- Additive.ofMulstatement and proof · cited by 155
Cited by3
Results whose statement or proof uses this declaration.
- autEquivZmod_symm_apply_intCastproof · cited by 1
- IsPrimitiveRoot.zmodEquivZPowers_apply_coe_natproof · cited by 1
- IsPrimitiveRoot.zmodEquivZPowers_symm_apply_zpowproof · cited by 1