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Proof step 27 from proof okbytearray-validref (previous step)

st[r -- _length] = intval(i), 0 ≤ i, r ∈ st, junkref(str, r, st), is_arrayref(r, i, st), r -- _length ∈ st, okreftype(refval(r), mkarraytype(byte_type), st), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → is_bytevalue(st[r -- j ']) ⊦ r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ 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 22:
¬ is_array(str, r, st), st[r -- _length] = intval(i), 0 ≤ i, r ∈ st, junkref(str, r, st), is_arrayref(r, i, st), r -- _length ∈ st, okreftype(refval(r), mkarraytype(byte_type), st), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → is_bytevalue(st[r -- j ']) ⊦ r = jvmref
Proof step 26:
is_array(str, r, st), st[r -- _length] = intval(i), 0 ≤ i, 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)), is_arrayref(r, i, st), r -- _length ∈ st, okreftype(refval(r), mkarraytype(byte_type), st), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → is_bytevalue(st[r -- j ']) ⊦ r = jvmref

Rule argument

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

Additional information

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