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

st[r -- _length] = intval(i), st[r -- _type] .type = mkarraytype(ty0), r ∈ st, 0 < i, 0 ≤ j, 0 ≤ i, r -- _type ∈ st, r -- _length ∈ st, j < i, ty0 ≤ ty, is_typevalue(st[r -- _type]), is_arrayref(r, i, st), _length ∈ fis, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], 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 -- _type] = typeval(ty1), st[r -- _length] = intval(i), ty1 = mkarraytype(ty0), r ∈ st, 0 < i, 0 ≤ j, 0 ≤ i, r -- _type ∈ st, r -- _length ∈ st, j < i, ty0 ≤ ty, is_typevalue(st[r -- _type]), is_arrayref(r, i, st), _length ∈ fis, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, okval(st[r -- j '], ty)

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r -- _type], ty1] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r -- _type], ty1)]]