| i < i2, r2 ∈ st0, 0 < i3, okarray(r2, int_type, st0), 0 ≤ i0, i0 < i3, 0 ≤ i2, i2 + i3 ≤ st0[r2 -- _length] .intval ⊦ r2 = jvmref, r1 = r2, (r2 -- i ' ∈ arraycopy(r1, i1, r2, i2, i3, st0[r2 -- (i2 + i0) ', val]) ↔ r2 -- i ' ∈ arraycopy(r1, i1, r2, i2, i3, st0)) ∧ (st0[r2 -- (i2 + i0) ', val][r2 -- i ']) = (arraycopy(r1, i1, r2, i2, i3, st0)[r2 -- i ']) |
i < i2, r2 ∈ st0, 0 < i3, okarray(r2, int_type, st0), 0 ≤ i0, i0 < i3, 0 ≤ i2, i2 + i3 ≤ st0[r2 -- _length] .intval ⊦ r2 = jvmref, r1 = r2, ((i = i2 + i0 ⊃ val; st0[r2 -- i '])) = st0[r2 -- i ']
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ j0 < i0 → (arraycopy(r, i, r0, i0, j, st) [r0 -- j0 ' ] ) = st[r0 -- j0 ']], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ (st[rk0, val][rk]) = ((rk = rk0 ⊃ val; st[rk]))], [CSIMPSEQ : sk ≠ sk0 ⊦ r -- sk ∈ st[r -- sk0, val] ↔ r -- sk ∈ st], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ i + j < j ↔ i < 0], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ j0 < i0 → ( r0 -- j0 ' ∈ arraycopy (r, i, r0, i0, j, st) ↔ r0 -- j0 ' ∈ st)])]]