Theorems · Theorem · group theory
AddMonoid.lcm_addOrderOf_dvd_exponent
∀ (G : Type u) [inst : AddMonoid G] [inst_1 : Fintype G], Finset.univ.lcm addOrderOf ∣ AddMonoid.exponent G
- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement and proof · cited by 3,473
- AddMonoidstatement and proof · cited by 2,864
- addOrderOfstatement · cited by 208
- AddMonoid.exponentstatement · cited by 70
- Finset.lcmstatement · cited by 37
- AddMonoid.addOrder_dvd_exponentproof · cited by 10
- Finset.lcm_dvdproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoid.lcm_addOrderOf_eq_exponentproof · cited by 1