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Proof step 13 from proof add-okarray (previous step)

st[val .refval -- _length] = intval(i), is_arrayref(val .refval, i, st), val .refval -- _length ∈ st, 0 ≤ i, val .refval ∈ st ⊦ val .refval = jvmref, r = val .refval, okreftype(val, mkarraytype(ty0), addarray(r, ty, vals, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[val .refval -- j '], ty0, addarray(r, ty, vals, st))) ↔ okreftype(val, mkarraytype(ty0), st) ∧ (∀ j. 0 ≤ j ∧ j < i → oktype(st[val .refval -- j '], ty0, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
val = refval(r0) ∧ is_referencevalue(val), st[r0 -- _length] = intval(i), is_arrayref(r0, i, st), r0 -- _length ∈ st, 0 ≤ i, r0 ∈ st ⊦ r0 = jvmref, r = r0, okreftype(val, mkarraytype(ty0), addarray(r, ty, vals, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r0 -- j '], ty0, addarray(r, ty, vals, st))) ↔ okreftype(val, mkarraytype(ty0), st) ∧ (∀ j. 0 ≤ j ∧ j < i → oktype(st[r0 -- j '], ty0, st))

Rule argument

[speclemmaarg: is_referencevalue(val) ,r = val .refval ↔ val = refval(r) ,[val, r] → [val, r0] ,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, r0)]]