Theorems · Theorem · number theory
IsPrimitiveRoot.zpow_eq_one
∀ {G : Type u_3} [inst : DivisionCommMonoid G] {k : ℕ} {ζ : G}, IsPrimitiveRoot ζ k → ζ ^ ↑k = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- DivisionCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsPrimitiveRootstatement and proof · cited by 356
- zpow_natCastproof · cited by 271
- DivisionCommMonoidstatement and proof · cited by 80
- IsPrimitiveRoot.pow_eq_oneproof · cited by 48
Cited by1
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.eq_pow_of_mem_rootsOfUnityproof · cited by 3