proposition: Lemma psv_distrib_right : forall dim c (r1 r2:vector dim), prod_scal_vec _ c (sum_vector _ r1 r2) ==v sum_vector _ (prod_scal_vec dim c r1) (prod_scal_vec _ c r2).
proof: Proof. apply psv_distrib_right 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)