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Proof step 28 from proof okarray-put-okval-01 (previous step)

st[val .refval -- _length] = intval(j), is_arrayref(val .refval, j, st), okval(val0, ty), is_referencevalue(val), val .refval -- _type ∈ st, is_typevalue(st[val .refval -- _type]), is_arraytype(st[val .refval -- _type] .type), st[val .refval -- _type] .type .type ≤ ty, val .refval -- _length ∈ st, 0 ≤ j, val .refval ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → okval(st[val .refval -- j0 '], ty) ⊦ val .refval = jvmref, okarray(val, ty, j, st[r -- i ', val0])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 27:
val = refval(r0), st[r0 -- _length] = intval(j), is_arrayref(r0, j, st), okval(val0, ty), is_referencevalue(val), r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), is_arraytype(st[r0 -- _type] .type), st[r0 -- _type] .type .type ≤ ty, r0 -- _length ∈ st, 0 ≤ j, r0 ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → okval(st[r0 -- j0 '], ty) ⊦ r0 = jvmref, okarray(val, ty, j, st[r -- i ', val0])

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)]]