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Proof step 28 from proof getbytearray-pseq-02 (previous step)

st[r -- _length] = intval(i2 + i), 0 ≤ i2 + i, is_arrayref(r, i2 + i, st), r -- _length ∈ st, okreftype(refval(r), mkarraytype(byte_type), st), r ∈ st, 0 ≤ i3, 0 ≤ i2, 0 < i2, i3 < i2, ps=(r, st, r1, st1), 0 < i2 + i, 0 ≤ i, r -- _type ∈ st, is_typevalue(st[r -- _type]), ∀ j. ¬ j < 0 ∧ ¬ i2 + i ≤ j → is_bytevalue(st[r -- j ']), ∀ 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) ⊦ r = jvmref, st[r -- i '] .byteval = st1[r1 -- i '] .byteval, ∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(`docs2store', refs, mkarraytype(byte_type), st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ ps=(r, st, r1, st1) ↔ r = jvmref ∧ r1 = jvmref ∨ r ≠ jvmref ∧ r1 ≠ jvmref ∧ st[r -- _type] = st1[r1 -- _type] ∧ ( is_classtype(st[r -- _type] .type) → (∀ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) → ps=(st[r -- fs '] .refval, st, st1[r1 -- fs '] .refval, st1)) ∧ (∀ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ ¬ is_referencevalue(st[r -- fs ']) → st[r -- fs '] = st1[r1 -- fs '])) ∧ ( is_arraytype(st[r -- _type] .type) → st[r -- _length] .intval = st1[r1 -- _length] .intval ∧ (∀ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) → ps=(st[r -- i '] .refval, st, st1[r1 -- i '] .refval, st1)) ∧ (∀ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ ¬ is_referencevalue(st[r -- i ']) → st[r -- i '] = st1[r1 -- i ']))
Proof step 27:
st[r -- _length] = intval(i2 + i), 0 ≤ i2 + i, is_arrayref(r, i2 + i, st), r -- _length ∈ st, okreftype(refval(r), mkarraytype(byte_type), st), r ∈ st, 0 ≤ i3, 0 ≤ i2, 0 < i2, i3 < i2, r = jvmref ∧ r1 = jvmref ∨ r ≠ jvmref ∧ r1 ≠ jvmref ∧ st[r -- _type] = st1[r1 -- _type] ∧ ( is_classtype(st[r -- _type] .type) → (∀ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) → ps=(st[r -- fs '] .refval, st, st1[r1 -- fs '] .refval, st1)) ∧ (∀ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ ¬ is_referencevalue(st[r -- fs ']) → st[r -- fs '] = st1[r1 -- fs '])) ∧ ( is_arraytype(st[r -- _type] .type) → st[r -- _length] .intval = st1[r1 -- _length] .intval ∧ (∀ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) → ps=(st[r -- i '] .refval, st, st1[r1 -- i '] .refval, st1)) ∧ (∀ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ ¬ is_referencevalue(st[r -- i ']) → st[r -- i '] = st1[r1 -- i '])), 0 < i2 + i, 0 ≤ i, r -- _type ∈ st, is_typevalue(st[r -- _type]), ∀ j. ¬ j < 0 ∧ ¬ i2 + i ≤ j → is_bytevalue(st[r -- j ']), ∀ 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) ⊦ r = jvmref, st[r -- i '] .byteval = st1[r1 -- i '] .byteval, ∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(`docs2store', refs, mkarraytype(byte_type), st)

Rule argument

[crewrite-arg: pseq-def, F, [st1, r1, st, r] → [st1, r1, st, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, r1, st, r)]]