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Proof step 16 from proof junkrefs-put-ba (previous step)

st[r0 -- _type] = typeval(mkarraytype(byte_type)), junkrefs(str, refs, ty, st[r1 -- mkfs(class, mkarraytype(byte_type), fieldvar) ', refval(r0)]), is_array(r0, st), junkref(str, r0, st) ⊦ r0 = 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 2:
⊦ is_array(str, r, st) → ( junkref(str, r, st) ↔ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ st[r -- i '] .refval ≠ jvmref ∧ (¬ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∨ junkref(str, st[r -- i '] .refval, st))))
Proof step 3:
¬ is_array(str, r0, st), st[r0 -- _type] = typeval(mkarraytype(byte_type)), junkrefs(str, refs, ty, st[r1 -- mkfs(class, mkarraytype(byte_type), fieldvar) ', refval(r0)]), is_array(r0, st), junkref(str, r0, st) ⊦ r0 = jvmref, mkfs(class, mkarraytype(byte_type), fieldvar) ' = _length, junkrefs(str, refs, ty, st)
Proof step 15:
is_array(str, r0, st), st[r0 -- _type] = typeval(mkarraytype(byte_type)), junkrefs(str, refs, ty, st[r1 -- mkfs(class, mkarraytype(byte_type), fieldvar) ', refval(r0)]), is_array(r0, st), ∃ i. 0 ≤ i ∧ i < st[r0 -- _length] .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ st[r0 -- i '] .refval ≠ jvmref ∧ (¬ st[st[r0 -- i '] .refval -- _type] .type ≤ st[r0 -- _type] .type .type ∨ junkref(str, st[r0 -- i '] .refval, st)) ⊦ r0 = jvmref, mkfs(class, mkarraytype(byte_type), fieldvar) ' = _length, junkrefs(str, refs, ty, st)

Rule argument

[crewrite-arg: junkref-array, F, [st, r, str] → [st, r0, str]]

Additional information

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