Theorems · Theorem · group theory
Monoid.lcm_orderOf_eq_exponent
∀ {G : Type u} [inst : Monoid G] [inst_1 : Fintype G], Finset.univ.lcm orderOf = Monoid.exponent G- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 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
- Monoidstatement and proof · cited by 3,887
- Finset.univstatement · cited by 3,473
- Finset.mem_univproof · cited by 361
- orderOfstatement · cited by 324
- Monoid.exponentstatement · cited by 128
- Finset.lcmstatement · cited by 37
- Finset.dvd_lcmproof · cited by 10
- Monoid.exponent_dvdproof · cited by 6
- Monoid.lcm_orderOf_dvd_exponentproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Monoid.ExponentExists.of_finiteproof · cited by 2