Theorems · Theorem · group theory
addOrderOf_dvd_card
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : Fintype G] {x : G}, addOrderOf x ∣ Fintype.card G- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- AddGroupstatement and proof · cited by 4,410
- HasQuotient.Quotientproof · cited by 2,301
- mul_commproof · cited by 2,262
- Fintype.cardstatement and proof · cited by 1,386
- AddSubgroup.zmultiplesproof · cited by 493
- addOrderOfstatement · cited by 208
- Fintype.card_congrproof · cited by 67
- Fintype.card_prodproof · cited by 19
- AddSubgroup.addGroupEquivQuotientProdAddSubgroupproof · cited by 5
- Fintype.card_zmultiplesproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- addOrderOf_dvd_natCardproof · cited by 6
- AddMonoidHom.independent_range_of_coprime_orderproof · cited by 1
- AddGroup.exponent_dvd_cardproof · cited by 1
- mod_card_nsmulproof · cited by 0
- mod_card_zsmulproof · cited by 0