Third_Sylow_Theorem

import Mathlib.GroupTheory.Sylow

theorem Third_Sylow_Theorem {G : Type _} [Group G] [Fintype G] {p : ℕ} [Fact (Nat.Prime p)] (P Q : Sylow p G) : ∃ g : G, P.toSubgroup = Subgroup.map (MulAut.conj g).toMonoidHom Q.toSubgroup := by sorry