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Proof step 20 from proof okarray-copy (previous step)

st[r1 -- _type] .type = mkarraytype(ty0), 0 < st[r1 -- _length] .intval, 0 ≤ j, j < st[r1 -- _length] .intval, ty0 ≤ ty, is_typevalue(st[r1 -- _type]), r1 -- _type ∈ st, 0 ≤ st[r1 -- _length] .intval, r1 ∈ st, is_arrayref(r1, st[r1 -- _length] .intval, st), is_integervalue(st[r1 -- _length]), r1 -- _length ∈ st, ∀ j. ¬ j < 0 ∧ ¬ st[r1 -- _length] .intval ≤ j → okval(st[r1 -- j '], ty) ⊦ r1 = jvmref, r1 = r0, okval(st[r1 -- j '], ty)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 19:
st[r1 -- _length] = intval(i), st[r1 -- _type] .type = mkarraytype(ty0), 0 < i, 0 ≤ j, j < i, ty0 ≤ ty, is_typevalue(st[r1 -- _type]), r1 -- _type ∈ st, 0 ≤ i, r1 ∈ st, is_arrayref(r1, i, st), is_integervalue(st[r1 -- _length]), r1 -- _length ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r1 -- j '], ty) ⊦ r1 = jvmref, r1 = r0, okval(st[r1 -- j '], ty)

Rule argument

[speclemmaarg: ,is_integervalue(val) → (i = val .intval ↔ val = intval(i)) ,[val, i] → [st[r1 -- _length], i] ,T ,javavalue , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_integervalue(val) → ( i = val .intval ↔ val = intval(i))])], [EXTRATERMS : (st[r1 -- _length], i)]]