proposition: Lemma mx_repr_action_faithful : [faithful G, on setT | 'MR rG] = mx_faithful rG.
proof: Proof. by rewrite /faithful astab_setT_repr (setIidPr _) // [rker _]setIdE subsetIl. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq path) mathcomp(div choice fintype tuple finfun bigop prime) mathcomp(ssralg poly finset fingroup morphism perm) mathcomp(automorphism quotient gproduct action finalg) mathcomp(zmodp commutator cyclic center pgroup gseries) mathcomp(nilpotent sylow maximal abelian matrix) mathcomp(mxalgebra mxrepresentation)