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Proof step 31 from proof okarray-put-okval (previous step)

st[r -- _type] .type = mkarraytype(ty0), st[r -- _length] = intval(i0), 0 ≤ i0, r -- _length ∈ st, is_arrayref(r, i0, st), okval(val, ty), r -- _type ∈ st, is_typevalue(st[r -- _type]), ty0 ≤ ty, r ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → okval(st[r -- j0 '], ty) ⊦ j = i, r = jvmref, okreftype(refval(r), mkarraytype(ty), st[r -- i ', val]) ∧ (0 ≤ j ∧ j < i0 → okval(st[r -- i ', val][r -- j '], ty))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 30:
st[r -- _type] = typeval(ty1), ty1 = mkarraytype(ty0), st[r -- _length] = intval(i0), 0 ≤ i0, r -- _length ∈ st, is_arrayref(r, i0, st), okval(val, ty), r -- _type ∈ st, is_typevalue(st[r -- _type]), ty0 ≤ ty, r ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → okval(st[r -- j0 '], ty) ⊦ j = i, r = jvmref, okreftype(refval(r), mkarraytype(ty), st[r -- i ', val]) ∧ (0 ≤ j ∧ j < i0 → okval(st[r -- i ', val][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)]]