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Proof step 21 from proof okarray-byte-01 (previous step)

st[r -- (i0 + i) '] = byteval(st[r0 -- (j0 + i) '] .byteval), 0 ≤ j0 + i, 0 ≤ i0 + i, r0 ∈ st, r ∈ st, j0 + j < st[r0 -- _length] .intval, i0 + j < st[r -- _length] .intval, i < j, okarray(r0, byte_type, st), okarray(r, byte_type, st) ⊦ is_bytevalue(st[r0 -- (j0 + i) ']), r0 = jvmref, r = jvmref, byteval(st[r0 -- (j0 + i) '] .byteval) = st[r0 -- (j0 + i) ']

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ 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 20:
st[r -- (i0 + i) '] = byteval(st[r0 -- (j0 + i) '] .byteval), 0 ≤ j0 + i, 0 ≤ i0 + i, r0 ∈ st, r ∈ st, j0 + j < st[r0 -- _length] .intval, i0 + j < st[r -- _length] .intval, i < j, okreftype(refval(r0), mkarraytype(byte_type), st) ∧ r0 ≠ jvmref ∧ r0 -- _length ∈ st ∧ is_integervalue(st[r0 -- _length]) ∧ 0 ≤ st[r0 -- _length] .intval ∧ is_arrayref(r0, st[r0 -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r0 -- _length] .intval → oktype(st[r0 -- j '], byte_type, st)), okarray(r, byte_type, st) ⊦ is_bytevalue(st[r0 -- (j0 + i) ']), r0 = jvmref, r = jvmref, byteval(st[r0 -- (j0 + i) '] .byteval) = st[r0 -- (j0 + i) ']

Rule argument

[crewrite-arg: okarrayNotNull, F, [st, ty, r] → [st, byte_type, r0]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, byte_type, r0)]]