Theorems · Theorem · group theory
AddMonoid.exponent_ne_zero
∀ {G : Type u} [inst : AddMonoid G], AddMonoid.exponent G ≠ 0 ↔ AddMonoid.ExponentExists G- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 69 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.
Cites6
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
- zero_nsmulproof · cited by 137
- AddMonoid.exponentstatement · cited by 70
- lt_self_iff_falseproof · cited by 41
- AddMonoid.ExponentExistsstatement and proof · cited by 17
- Nat.find_eq_zeroproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- AddMonoid.exponent_eq_zero_iffproof · cited by 5
- AddMonoid.ExponentExists.exponent_ne_zeroproof · cited by 2
- AddMonoid.exponent_posproof · cited by 1
- IsAddTorsion.exponentExistsproof · cited by 0