proposition: Lemma psv_distrib_left : forall dim c1 c2 (r:vector dim), prod_scal_vec _ (plus c1 c2) r ==v sum_vector _ (prod_scal_vec dim c1 r) (prod_scal_vec _ c2 r).
proof: Proof. apply psv_distrib_left with (eq:=eq) (plus:=plus) (mult:=mult);intros;ring. Qed.
imports: Coq(Lia List Setoid Peano_dec Eqdep_dec Ring Zwf Morphisms ZArith) CoLoR(interp)