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Proof step 11 from proof okarray-byte-01 (previous step)

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 ⊦ is_bytevalue(st[r -- (i0 + i) ']), st[r -- (i0 + i) '] = st[r0 -- (j0 + i) '], r = jvmref, r0 = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ okarray(r, ty, st) ↔ okreftype(refval(r), mkarraytype(ty), st) ∧ r ≠ jvmref ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ 0 ≤ st[r -- _length] .intval ∧ is_arrayref(r, st[r -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → oktype(st[r -- j '], ty, st))
Proof step 10:
st[r -- (i0 + i) '] .byteval = st[r0 -- (j0 + i) '] .byteval, okreftype(refval(r), mkarraytype(byte_type), st) ∧ r ≠ jvmref ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ 0 ≤ st[r -- _length] .intval ∧ is_arrayref(r, st[r -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → oktype(st[r -- j '], 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 ⊦ is_bytevalue(st[r -- (i0 + i) ']), st[r -- (i0 + i) '] = st[r0 -- (j0 + i) '], r = jvmref, r0 = jvmref

Rule argument

[crewrite-arg: okarrayNotNull, F, [st, ty, r] → [st, byte_type, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, byte_type, r)]]