proposition: Lemma limg_amulr U v : (amulr v @: U = U * <[v]>)%VS.
proof: Proof. rewrite -(span_basis (vbasisP U)) limg_span !span_def big_distrl /= big_map. by apply: eq_bigr => u; rewrite prodv_line lfunE. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq path) mathcomp(choice fintype div tuple finfun bigop ssralg) mathcomp(finalg zmodp matrix vector poly)