Theorems · Theorem · group theory
AddMonoid.exponent_pos_of_exists
∀ {G : Type u} [inst : AddMonoid G] (n : ℕ), 0 < n → (∀ (g : G), n • g = 0) → 0 < AddMonoid.exponent G- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
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.
- AddMonoidstatement and proof · cited by 2,864
- AddMonoid.exponentstatement · cited by 70
- AddMonoid.ExponentExists.exponent_posproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- AddMonoid.exponent_dvd_iff_forall_nsmul_eq_zeroproof · cited by 4
- AddMonoid.exp_eq_one_iffproof · cited by 2