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Proof step 10 from proof ac-okarray-01 (previous step)

st[val .refval -- _length] = intval(i), okreftype(val, mkarraytype(ty), st), is_arrayref(val .refval, i, st), j < i, val .refval -- _length ∈ st, 0 ≤ i, 0 ≤ j, 0 < i, val .refval ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[val .refval -- j '], ty, st) ⊦ val = refval(jvmref), val .refval = jvmref, oktype(st[val .refval -- j '], ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 9:
val = refval(r) ∧ is_referencevalue(val), st[r -- _length] = intval(i), okreftype(val, mkarraytype(ty), st), is_arrayref(r, i, st), j < i, r -- _length ∈ st, 0 ≤ i, 0 ≤ j, 0 < i, r ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r -- j '], ty, st) ⊦ val = refval(jvmref), r = jvmref, oktype(st[r -- j '], ty, st)

Rule argument

[speclemmaarg: is_referencevalue(val) ,r = val .refval ↔ val = refval(r) ,[val, r] → [val, r] ,T ,javavalue , ,elim-refval ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_referencevalue(val) → val .refval = jvmref], [CSIMPELIM : is_referencevalue(val) ⊦ r = val .refval ↔ val = refval(r)])], [EXTRATERMS : (val, r)]]