proposition: Lemma mem_kAut_coset K E (g : 'AEnd(L)) : kAut K E g -> g \in coset (kAEndf E) g.
proof: Proof. move=> autEg; rewrite val_coset ?rcoset_refl //. by rewrite (subsetP (kAEnd_norm K E)) // inE. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq div) mathcomp(choice fintype tuple finfun bigop ssralg poly) mathcomp(polydiv finset fingroup morphism quotient perm) mathcomp(action zmodp cyclic matrix mxalgebra vector) mathcomp(falgebra fieldext separable)