proposition: Lemma Rseq_ring_theory : @ring_theory Rseq (0%R) (1%R) Rseq_plus Rseq_mult Rseq_minus Rseq_opp Rseq_eq.
proof: Proof. constructor; unfold Rseq_plus, Rseq_mult, Rseq_minus, Rseq_eq, Rseq_constant, Rseq_opp; intros; ring. Qed.
imports: Nnat Arith Ring Rsequence_def Reals Setoid