Theorems · Theorem · group theory
Group.exponent_dvd_sub_iff_zpow_eq_zpow
∀ {G : Type u} [inst : Group G] {n m : ℤ}, ↑(Monoid.exponent G) ∣ n - m ↔ ∀ (g : G), g ^ n = g ^ m- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Monoid.exponentstatement · cited by 128
- zpow_subproof · cited by 15
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.