Theorems · Theorem · group theory
Monoid.exponent_ne_zero
∀ {G : Type u} [inst : Monoid G], Monoid.exponent G ≠ 0 ↔ Monoid.ExponentExists G- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- pow_zeroproof · cited by 1,094
- Monoid.exponentstatement · cited by 128
- Monoid.ExponentExistsstatement and proof · cited by 18
Cited by4
Results whose statement or proof uses this declaration.
- Monoid.exponent_eq_zero_iffproof · cited by 5
- Monoid.ExponentExists.exponent_ne_zeroproof · cited by 2
- Monoid.exponent_posproof · cited by 1
- IsMulTorsion.exponentExistsproof · cited by 1