Theorems · Theorem · group theory
Sylow.normalizer_normalizer
∀ {G : Type u} [inst : Group G] {p : ℕ} [Fact (Nat.Prime p)] [Finite (Sylow p G)] (P : Sylow p G),
Subgroup.normalizer ↑(Subgroup.normalizer ↑P) = Subgroup.normalizer ↑P- Defined in
- Mathlib.GroupTheory.Sylow
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- LE.le.transproof · cited by 3,151
- Finitestatement and proof · cited by 3,029
- Factstatement and proof · cited by 2,726
- le_antisymmproof · cited by 2,068
- Nat.Primestatement and proof · cited by 2,059
- Subgroup.Normalproof · cited by 334
- Subgroup.subgroupOfproof · cited by 122
- Subgroup.normalizerstatement and proof · cited by 108
Cited by1
Results whose statement or proof uses this declaration.
- Sylow.normal_of_normalizerConditionproof · cited by 0