proposition: Lemma gt_abs_pser_mult_compat_r : forall Un Vn x, gt_abs_pser (Un * Vn) x == gt_abs_pser Un x * | Vn |.
proof: Proof. intros Un Vn x n ; unfold gt_abs_pser, Rseq_abs ; rewrite gt_pser_mult_compat_r ; unfold Rseq_mult ; apply Rabs_mult. Qed.
imports: Reals Rpser_def Rpser_def_simpl Rinterval Rsequence_def Rsequence_base_facts Rsequence_subsequence Rsequence_rewrite_facts Rsequence_cv_facts Rsequence_facts Rsequence_bound_facts Rsequence_sums_facts Rpow_facts PeanoNat Lra MyRIneq MyNat MyNNR