proposition: Lemma trivg_pcore_quotient pi gT (G : {group gT}) : 'O_pi(G / 'O_pi(G)) = 1.
proof: Proof. by rewrite pquotient_pcore ?gFnormal ?pcore_pgroup ?trivg_quotient. 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)