Theorems · Theorem · group theory
AddMonoid.lcm_addOrderOf_eq_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 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 · cited by 3,473
- AddMonoidstatement and proof · cited by 2,864
- Finset.mem_univproof · cited by 361
- addOrderOfstatement · cited by 208
- AddMonoid.exponentstatement · cited by 70
- Finset.lcmstatement · cited by 37
- Finset.dvd_lcmproof · cited by 10
- AddMonoid.exponent_dvdproof · cited by 5
- AddMonoid.lcm_addOrderOf_dvd_exponentproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoid.ExponentExists.of_finiteproof · cited by 2