| 0 < i, 0 ≤ j, 0 ≤ i, j + i ≤ st[r -- _length] .intval, validrefnotnull(str, r, mkarraytype(ty), st), is_reftype(ty), ∀ j, st, r, str, ty, i0. i→n(i0) < i→n(i) → ( is_reftype(ty) ∧ validrefnotnull(str, r, mkarraytype(ty), st) ∧ j + i0 ≤ st[r -- _length] .intval ∧ 0 ≤ i0 ∧ 0 ≤ j → r = jvmref ∨ validreflist(str, getarray(r, j, i0, st), ty, st)) ⊦ r = jvmref, validreflist(str, st[r -- j '] ' + getarray(r, j + 1, i - 1, st), ty, st) |
i = i1 + 1, 0 < i, 0 ≤ j, 0 ≤ i, j + i ≤ st[r -- _length] .intval, validrefnotnull(str, r, mkarraytype(ty), st), is_reftype(ty), ∀ j, st, r, str, ty, i0. i→n(i0) < i→n(i) → ( is_reftype(ty) ∧ validrefnotnull(str, r, mkarraytype(ty), st) ∧ j + i0 ≤ st[r -- _length] .intval ∧ 0 ≤ i0 ∧ 0 ≤ j → r = jvmref ∨ validreflist(str, getarray(r, j, i0, st), ty, st)) ⊦ r = jvmref, validreflist(str, st[r -- j '] ' + getarray(r, j + 1, i1, st), ty, st)
[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ i0 = i - j ↔ i = i0 + j])], [EXTRATERMS : (i, 1, i1)]]