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Proof step 15 from proof getbar-subset (previous step)

st[r -- _type] .type = mkarraytype(byte_type), st[r -- _length] = intval(i), 0 ≤ i, 0 < i, is_typevalue(st[r -- _type]), r -- _type ∈ st, st ⊆ st0, j < i, 0 ≤ j, r ∈ st, r -- _length ∈ st, is_arrayref(r, i, st), ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → is_bytevalue(st[r -- j0 ']) ⊦ r = jvmref, noval .byteval = st0[r -- j '] .byteval, r -- j ' ∈ st

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 14:
st[r -- _type] = typeval(ty), ty = mkarraytype(byte_type), st[r -- _length] = intval(i), 0 ≤ i, 0 < i, is_typevalue(st[r -- _type]), r -- _type ∈ st, st ⊆ st0, j < i, 0 ≤ j, r ∈ st, r -- _length ∈ st, is_arrayref(r, i, st), ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → is_bytevalue(st[r -- j0 ']) ⊦ r = jvmref, noval .byteval = st0[r -- j '] .byteval, r -- j ' ∈ st

Rule argument

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

Additional information

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