proposition: Lemma in_genZ a : {morph in_gen : W / a *: W >-> gen a *: W}.
proof: Proof. move=> W; apply/matrixP=> i j; apply: mxval_inj. rewrite !mxE mxvalM genK ![mxval _]horner_rVpoly /=. by rewrite mul_scalar_mx !(I, scalemxAl, linearZ). 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)