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Proof step 25 from proof okbytearray-validref (previous step)

st[r -- _length] = intval(i), r ∈ st, 0 ≤ i, is_array(str, r, st), 0 ≤ i0, okreftype(refval(r), mkarraytype(byte_type), st), r -- _length ∈ st, is_arrayref(r, i, st), is_referencevalue(st[r -- i0 ']), i0 < i, 0 < i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → is_bytevalue(st[r -- j ']), ¬ st[st[r -- i0 '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∨ junkref(str, st[r -- i0 '] .refval, st) ⊦ st[r -- i0 '] .refval = jvmref, r = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 24:
st[r -- i0 '] = refval(r0), st[r -- _length] = intval(i), r ∈ st, 0 ≤ i, is_array(str, r, st), 0 ≤ i0, okreftype(refval(r), mkarraytype(byte_type), st), r -- _length ∈ st, is_arrayref(r, i, st), is_referencevalue(st[r -- i0 ']), i0 < i, 0 < i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → is_bytevalue(st[r -- j ']), ¬ st[r0 -- _type] .type ≤ st[r -- _type] .type .type ∨ junkref(str, r0, st) ⊦ r0 = jvmref, r = jvmref

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r -- i0 '], r0] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r -- i0 '], r0)]]