Theorems · Theorem · group theory
not_dvd_card_sylow
∀ (p : ℕ) (G : Type u_1) [inst : Group G] [hp : Fact (Nat.Prime p)] [Finite (Sylow p G)], ¬p ∣ Nat.card (Sylow p G)
- Defined in
- Mathlib.GroupTheory.Sylow
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Finitestatement and proof · cited by 3,029
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Nat.cardstatement and proof · cited by 844
- Fact.outproof · cited by 328
- zero_le_oneproof · cited by 316
- Sylowstatement and proof · cited by 103
- Nat.Prime.ne_oneproof · cited by 61
- Nat.ModEq.symmproof · cited by 29
- Nat.ModEq.transproof · cited by 21
- Nat.modEq_zero_iff_dvdproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- Sylow.not_dvd_index'proof · cited by 1