proposition: Lemma mx_Schur : mx_irreducible -> forall f, centgmx rG f -> f != 0 -> f \in unitmx.
proof: Proof. move/mx_Schur_onto=> irrG f. rewrite -row_full_dom_hom -!row_full_unit -!sub1mx => cGf nz. by rewrite -[f]mul1mx irrG ?submx1 ?mxmodule1 ?mul1mx. 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)