Theorems · Theorem · group theory
Monoid.ExponentExists.of_finite
∀ {G : Type u} [inst : LeftCancelMonoid G] [Finite G], Monoid.ExponentExists G- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LeftCancelMonoidFinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypeproof · cited by 7,736
- Finset.univproof · cited by 3,473
- Finitestatement and proof · cited by 3,029
- LT.lt.ne'proof · cited by 1,417
- orderOfproof · cited by 324
- Fintype.ofFiniteproof · cited by 255
- IsOfFinOrderproof · cited by 113
- Finset.lcmproof · cited by 37
- LeftCancelMonoidstatement and proof · cited by 28
- orderOf_dvd_iff_pow_eq_oneproof · cited by 22
- Monoid.ExponentExistsstatement · cited by 18
- orderOf_posproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- Monoid.exponent_ne_zero_of_finiteproof · cited by 2
- isMulTorsion_of_finiteproof · cited by 2