| i2 < i1 ∧ i1 < i2 + i3 ∧ i2 ≤ i ∧ i < i2 + i3, st0[r2 -- _type] = typeval(mkarraytype(ty0)), st0[r2 -- _length] = intval(i0), i < i2 + i3, 0 ≤ i, i2 ≤ i, 0 ≤ i0, r2 -- _length ∈ st0, i2 + i3 ≤ i0, 0 ≤ i2, 0 ≤ i3, r2 -- _type ∈ st0, ty0 ≤ ty, r2 ∈ st0, i < i0, 0 < i2 + i3, i2 < i0, 0 < i0, 0 < i3, r2 -- i ' ∈ st0, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → r2 -- j ' ∈ st0, ∀ j. ¬ j < 0 ∧ ¬ i3 ≤ j → st0[r2 -- (i1 + j) '] = st0[r2 -- (i2 + j) '], ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st0[r2 -- j '], ty) ⊦ r2 = jvmref, st0[r2 -- (i1 + i3 - (i2 + i3 - i + 1) % (i1 - i2) + 1) '] = st0[r2 -- i '] |
st0[r2 -- _type] = typeval(mkarraytype(ty0)), st0[r2 -- _length] = intval(i0), 0 < i2 + i3, 1 < i2 + i3, 0 < i0, i2 < i1, i1 < i2 + i3, i < i2 + i3, 0 ≤ i, i2 ≤ i, 0 ≤ i0, r2 -- _length ∈ st0, i2 + i3 ≤ i0, 0 ≤ i2, 0 ≤ i3, r2 -- _type ∈ st0, ty0 ≤ ty, r2 ∈ st0, i < i0, i2 < i0, 0 < i3, r2 -- i ' ∈ st0, i1 < i0, 0 < i1, 1 < i0, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → r2 -- j ' ∈ st0, ∀ j. ¬ j < 0 ∧ ¬ i3 ≤ j → st0[r2 -- (i1 + j) '] = st0[r2 -- (i2 + j) '], ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st0[r2 -- j '], ty) ⊦ r2 = jvmref, st0[r2 -- (i1 + i3 - (i2 + i3 - i + 1) % (i1 - i2) + 1) '] = st0[r2 -- i ']
[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j], [CSIMPFORWARD : ⊦ i < j ∧ j ≤ j0 → i < j0], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i])]]