Theorems · Theorem · number theory
rootsOfUnity.coe_pow
∀ {R : Type u_4} {k : ℕ} [inst : CommMonoid R] (ζ : ↥(rootsOfUnity k R)) (m : ℕ), ↑↑(ζ ^ m) = ↑↑ζ ^ m- Defined in
- Mathlib.RingTheory.RootsOfUnity.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- Units.valstatement and proof · cited by 1,966
- rootsOfUnitystatement and proof · cited by 118
- Units.val_pow_eq_pow_valproof · cited by 24
- Subgroup.coe_powproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.autToPow_specproof · cited by 5
- map_rootsOfUnity_eq_pow_selfproof · cited by 3