proposition: Lemma morphim_pSylow p G P : P \subset D -> p.-Sylow(G) P -> p.-Sylow(f @* G) (f @* P).
proof: Proof. exact: morphim_pHall. Qed.
imports: mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq div) mathcomp(fintype bigop finset prime fingroup morphism) mathcomp(gfunctor automorphism quotient action gproduct) mathcomp(cyclic)