Theorems · Theorem · group theory
IsPGroup.of_card_dvd_pow
∀ {p : ℕ} {G : Type u_1} [inst : Group G] {n : ℕ}, Nat.card G ∣ p ^ n → IsPGroup p G- Defined in
- Mathlib.GroupTheory.PGroup
- Cited by
- 2 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.
Cites7
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
- Nat.cardstatement and proof · cited by 844
- orderOfproof · cited by 324
- dvd_reflproof · cited by 97
- IsPGroupstatement · cited by 96
- orderOf_dvd_iff_pow_eq_oneproof · cited by 22
- orderOf_dvd_natCardproof · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- IsPGroup.of_cardproof · cited by 5
- isPGroup_iff_card_dvd_powproof · cited by 2