Theorems · Theorem · group theory
Group.exponent_dvd_card
∀ {G : Type u} [inst : Group G] [inst_1 : Fintype G], Monoid.exponent G ∣ Fintype.card G- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Groupstatement and proof · cited by 6,238
- Fintype.cardstatement · cited by 1,386
- Monoid.exponentstatement · cited by 128
- orderOf_dvd_cardproof · cited by 9
- Monoid.exponent_dvdproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- ArithmeticFunction.carmichael_dvd_totientproof · cited by 0