Theorems · Theorem · number theory
rootsOfUnity_le_of_dvd
∀ {M : Type u_1} [inst : CommMonoid M] {k l : ℕ}, k ∣ l → rootsOfUnity k M ≤ rootsOfUnity l M- Defined in
- Mathlib.RingTheory.RootsOfUnity.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- one_powproof · cited by 521
- pow_mulproof · cited by 210
- rootsOfUnitystatement and proof · cited by 118
Cited by2
Results whose statement or proof uses this declaration.
- HasEnoughRootsOfUnity.of_dvdproof · cited by 5
- MulChar.apply_mem_rootsOfUnity_of_pow_eq_oneproof · cited by 2