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Proof step 44 from proof getbytearray-pseq-02 (previous step)

st[r -- _length] .intval = i2 + i, 0 ≤ i, 0 < i2 + i, validref(`docs2store', r, mkarraytype(byte_type), st), ps=(r, st, r1, st1), i3 < i2, 0 < i2, 0 ≤ i2, 0 ≤ i3, ∀ i1, st1, r1, i0, r0, st0. i→n(st0[r0 -- _length] .intval - i0) < i→n(i2) → ( validref(`docs2store', r0, mkarraytype(byte_type), st0) ∧ ps=(r0, st0, r1, st1) ∧ i0 < st0[r0 -- _length] .intval ∧ i0 + i1 ≤ st0[r0 -- _length] .intval ∧ 0 ≤ i0 ∧ 0 < st0[r0 -- _length] .intval ∧ 0 ≤ i1 → getbytearray(r0, i0, i1, st0) = getbytearray(r1, i0, i1, st1) ∨ r0 = jvmref) ⊦ st[r -- i '] .byteval = st1[r1 -- i '] .byteval, r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ validref(str, r, ty, st) ↔ okreftype(refval(r), ty, st) ∧ ¬ junkref(str, r, st)
Proof step 43:
st[r -- _length] .intval = i2 + i, 0 ≤ i, 0 < i2 + i, okreftype(refval(r), mkarraytype(byte_type), st) ∧ ¬ junkref(`docs2store', r, st), ps=(r, st, r1, st1), i3 < i2, 0 < i2, 0 ≤ i2, 0 ≤ i3, ∀ i1, st1, r1, i0, r0, st0. i→n(st0[r0 -- _length] .intval - i0) < i→n(i2) → ( validref(`docs2store', r0, mkarraytype(byte_type), st0) ∧ ps=(r0, st0, r1, st1) ∧ i0 < st0[r0 -- _length] .intval ∧ i0 + i1 ≤ st0[r0 -- _length] .intval ∧ 0 ≤ i0 ∧ 0 < st0[r0 -- _length] .intval ∧ 0 ≤ i1 → getbytearray(r0, i0, i1, st0) = getbytearray(r1, i0, i1, st1) ∨ r0 = jvmref) ⊦ st[r -- i '] .byteval = st1[r1 -- i '] .byteval, r = jvmref

Rule argument

[speclemmaarg: , validref(str, r, ty, st) ↔ okreftype(refval(r), ty, st) ∧ ¬ junkref(str, r, st) ,[st, ty, r, str] → [st, mkarraytype(byte_type), r, `docs2store'] ,F ,junkrefs , ,validref-okreftype ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, mkarraytype(byte_type), r, `docs2store')]]