Theorems · Theorem · group theory
Sylow.ext_iff
∀ {p : ℕ} {G : Type u_1} [inst : Group G] {P Q : Sylow p G}, P = Q ↔ ↑P = ↑Q- Defined in
- Mathlib.GroupTheory.Sylow
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 3,593
- Sylowstatement and proof · cited by 103
- Sylow.toSubgroupstatement and proof · cited by 86
- Sylow.extproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Sylow.normalizer_sup_eq_topproof · cited by 2
- Sylow.mapSurjective_surjectiveproof · cited by 2
- card_sylow_modEq_oneproof · cited by 1
- alternatingGroup.subsingleton_two_sylowproof · cited by 1
- isZGroup_of_coprimeproof · cited by 1