Theorems · Theorem · group theory
IsPGroup.index
∀ {p : ℕ} {G : Type u_1} [inst : Group G],
IsPGroup p G → ∀ [hp : Fact (Nat.Prime p)] (H : Subgroup G) [H.FiniteIndex], ∃ n, H.index = p ^ n- Defined in
- Mathlib.GroupTheory.PGroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Factstatement and proof · cited by 2,726
- HasQuotient.Quotientproof · cited by 2,301
- Nat.Primestatement and proof · cited by 2,059
- Nat.cardproof · cited by 844
- Fact.outproof · cited by 328
- Subgroup.indexstatement and proof · cited by 150
- Subgroup.FiniteIndexstatement and proof · cited by 113
- IsPGroupstatement and proof · cited by 96
- Subgroup.normalCoreproof · cited by 16
- Nat.dvd_prime_powproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- IsPGroup.card_orbitproof · cited by 1