Theorems · Theorem · group theory
IsPGroup.to_subgroup
∀ {p : ℕ} {G : Type u_1} [inst : Group G], IsPGroup p G → ∀ (H : Subgroup G), IsPGroup p ↥H- Defined in
- Mathlib.GroupTheory.PGroup
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, 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
- Subtype.coe_injectiveproof · cited by 205
- Subgroup.subtypeproof · cited by 185
- IsPGroupstatement and proof · cited by 96
- IsPGroup.of_injectiveproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Sylow.exists_subgroup_le_card_pow_prime_of_le_cardproof · cited by 1
- IsPGroup.card_center_eq_prime_powproof · cited by 1