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Proof step 10 from proof junkrefs-put-ba (previous step)

st[r0 -- i '] = refval(r), st[r0 -- _type] = typeval(mkarraytype(byte_type)), r0 -- _type ∈ st, junkrefs(str, refs, ty, st[r1 -- mkfs(class, mkarraytype(byte_type), fieldvar) ', refval(r0)]), is_array(str, r0, st), r0 ∈ st, 0 < st[r0 -- _length] .intval, 0 ≤ i, i < st[r0 -- _length] .intval, okarray(r0, byte_type, st), st[r -- _type] .type ≠ byte_type ∨ junkref(str, r, st) ⊦ r0 = jvmref, r = jvmref, mkfs(class, mkarraytype(byte_type), fieldvar) ' = _length, junkrefs(str, refs, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ 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 9:
st[r0 -- i '] = refval(r), st[r0 -- _type] = typeval(mkarraytype(byte_type)), r0 -- _type ∈ st, junkrefs(str, refs, ty, st[r1 -- mkfs(class, mkarraytype(byte_type), fieldvar) ', refval(r0)]), is_array(str, r0, st), r0 ∈ st, 0 < st[r0 -- _length] .intval, 0 ≤ i, i < st[r0 -- _length] .intval, 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)), st[r -- _type] .type ≠ byte_type ∨ junkref(str, r, st) ⊦ r0 = jvmref, r = jvmref, mkfs(class, mkarraytype(byte_type), fieldvar) ' = _length, junkrefs(str, refs, ty, st)

Rule argument

[speclemmaarg: , 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)) ,[st, ty, r] → [st, byte_type, r0] ,F ,okfuns , ,okarrayNotNull ]

Additional information

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