Theorems · Theorem · group theory
Subgroup.orderOf_dvd_natCard
∀ {G : Type u_6} [inst : Group G] (s : Subgroup G) {x : G}, x ∈ s → orderOf x ∣ Nat.card ↥s- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Nat.cardstatement and proof · cited by 844
- orderOfstatement · cited by 324
- orderOf_dvd_natCardproof · cited by 14
- Subgroup.orderOf_mkproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.orderOf_le_cardproof · cited by 1