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

st[r -- _type] = typeval(mkarraytype(ty0)), is_integervalue(st[r -- _length]), 0 ≤ st[r -- _length] .intval, r ∈ st, is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st, ty0 ≤ ty, r -- _type ∈ st, j < st[r -- _length] .intval, 0 ≤ j, 0 < st[r -- _length] .intval, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, okval(st[r -- j '], ty)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(ty0)), is_integervalue(st[r -- _length]), 0 ≤ i, r ∈ st, is_arrayref(r, i, st), r -- _length ∈ st, ty0 ≤ ty, r -- _type ∈ st, j < i, 0 ≤ j, 0 < i, ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, okval(st[r -- j '], ty)

Rule argument

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

Additional information

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