| ⊦ st[r -- (i0 + i) '] .byteval = st[r0 -- (j0 + i) '] .byteval ∧ okarray(r, byte_type, st) ∧ okarray(r0, byte_type, st) ∧ i < j ∧ i0 + j < st[r -- _length] .intval ∧ j0 + j < st[r0 -- _length] .intval ∧ 0 ≤ i0 + i ∧ 0 ≤ j0 + i → (st[r -- (i0 + i) '] = st[r0 -- (j0 + i) '] ↔ true) |
⊦ okarray(r, ty, st) → r ≠ jvmref ∧ r ∈ st
st[r -- (i0 + i) '] .byteval = st[r0 -- (j0 + i) '] .byteval, okarray(r, byte_type, st), okarray(r0, byte_type, st), i < j, i0 + j < st[r -- _length] .intval, j0 + j < st[r0 -- _length] .intval, r ∈ st, r0 ∈ st, 0 ≤ i0 + i, 0 ≤ j0 + i ⊦ st[r -- (i0 + i) '] = st[r0 -- (j0 + i) '], r = jvmref, r0 = jvmref
[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0])]]