proposition: Lemma mx_rsim_faithful n1 n2 (rG1 : reprG n1) (rG2 : reprG n2) : mx_rsim rG1 rG2 -> mx_faithful rG1 = mx_faithful rG2.
proof: Proof. by move=> simG12; rewrite /mx_faithful (rker_mx_rsim simG12). Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq path) mathcomp(div choice fintype tuple finfun bigop prime) mathcomp(ssralg poly polydiv finset fingroup morphism) mathcomp(perm automorphism quotient finalg action zmodp) mathcomp(commutator cyclic center pgroup matrix mxalgebra) mathcomp(mxpoly)