Theorems · Theorem · group theory
AddMonoid.exists_addOrderOf_eq_exponent
∀ {G : Type u} [inst : AddCommMonoid G], AddMonoid.ExponentExists G → ∃ g, addOrderOf g = AddMonoid.exponent G- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites55
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppproof · cited by 5,255
- Set.rangeproof · cited by 4,705
- mul_oneproof · cited by 3,885
- Set.Nonemptyproof · cited by 2,627
- zero_addproof · cited by 2,366
- Nat.Primeproof · cited by 2,059
- Set.Finiteproof · cited by 1,814
- mul_assocproof · cited by 1,667
- LT.lt.ne'proof · cited by 1,417
- SupSet.sSupproof · cited by 954
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoid.exponent_eq_iSup_addOrderOfproof · cited by 2