interpretation "plus (rtc)"
'plus r1 r2 = (plus r1 r2).
+
+(* Basic properties *********************************************************)
+
+lemma plus_OO_r: ∀r. r = 𝟘𝟘 + r.
+* normalize //
+qed.
+
+lemma plus_r_OO: ∀r. r = r + 𝟘𝟘.
+* normalize //
+qed.