⊦ is_arrayref(r, i, st) ↔ (∀ j. 0 ≤ j ∧ j < i → r -- j ' ∈ st)
⊦ 0 ≤ j ∧ j < i → r -- j ' ∈ addarray(r, ty, i, st)
[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r, ty, i, st), i, r)]]