proposition: Lemma cfQuoEnorm (phi : 'CF(G)) x : B \subset cfker phi -> x \in 'N_G(B) -> (phi / B)%CF (coset B x) = phi x.
proof: Proof. rewrite cfunElock -gen_subG => sHK /setIP[Gx nHx]; rewrite sHK /=. rewrite mem_morphim // val_coset_prim //. by case: repr_rcosetP => _ /(subsetP sHK)/cfkerMl->. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq path) mathcomp(div choice fintype tuple finfun bigop prime order) mathcomp(ssralg poly finset fingroup morphism perm) mathcomp(automorphism quotient finalg action gproduct) mathcomp(zmodp commutator cyclic center pgroup sylow) mathcomp(matrix vector falgebra ssrnum algC algnum) mathcomp(archimedean)