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Proof step 18 from proof okarray-put-07 (previous step)

(st[r -- sk, val0][val .refval -- _length]) = intval(i), is_referencevalue(val), val .refval -- _type ∈ st[r -- sk, val0], is_typevalue(st[r -- sk, val0][val .refval -- _type]), is_arraytype((st[r -- sk, val0][val .refval -- _type]) .type), (st[r -- sk, val0][val .refval -- _type]) .type .type ≤ ty, val .refval -- _length ∈ st[r -- sk, val0], is_arrayref(val .refval, i, st[r -- sk, val0]), val .refval ∈ st[r -- sk, val0], 0 ≤ i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- sk, val0][val .refval -- j '], ty) ⊦ refval(r) = val, val .refval = jvmref, okarray(val, ty, i, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 17:
val = refval(r0), (st[r -- sk, val0][r0 -- _length]) = intval(i), is_referencevalue(val), r0 -- _type ∈ st[r -- sk, val0], is_typevalue(st[r -- sk, val0][r0 -- _type]), is_arraytype((st[r -- sk, val0][r0 -- _type]) .type), (st[r -- sk, val0][r0 -- _type]) .type .type ≤ ty, r0 -- _length ∈ st[r -- sk, val0], is_arrayref(r0, i, st[r -- sk, val0]), r0 ∈ st[r -- sk, val0], 0 ≤ i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- sk, val0][r0 -- j '], ty) ⊦ refval(r) = val, r0 = jvmref, okarray(val, ty, i, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [val, r0] ,T ,javavalue , ,elim-13 ]

Additional information

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