Theorems · Theorem · group theory
Sylow.ext
∀ {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
- 3 results in Mathlib
- Foundations
- Depth 27 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
- Sylowstatement and proof · cited by 103
- IsPGroupproof · cited by 96
- Sylow.toSubgroupstatement and proof · cited by 86
- Sylow.casesOnproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Sylow.ext_iffproof · cited by 5
- Sylow.finite_of_ker_is_pGroupproof · cited by 2
- Sylow.smul_subtypeproof · cited by 1