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Proof step 17 from proof okarray-byte (previous step)

st[r0 -- _type] .type = mkarraytype(byte_type), st[r -- i '] = byteval(st[r0 -- j '] .byteval), st[r0 -- _length] = intval(i0), 0 ≤ i0, 0 < i0, r0 ∈ st, is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, i < st[r -- _length] .intval, j < i0, r ∈ st, 0 ≤ i, 0 < st[r -- _length] .intval, 0 ≤ j, okarray(r, byte_type, st), is_arrayref(r0, i0, st), r0 -- _length ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → is_bytevalue(st[r0 -- j0 ']) ⊦ r0 = jvmref, byteval(st[r0 -- j '] .byteval) = st[r0 -- j '], r = jvmref, is_bytevalue(st[r0 -- j '])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
st[r0 -- _type] = typeval(ty), ty = mkarraytype(byte_type), st[r -- i '] = byteval(st[r0 -- j '] .byteval), st[r0 -- _length] = intval(i0), 0 ≤ i0, 0 < i0, r0 ∈ st, is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, i < st[r -- _length] .intval, j < i0, r ∈ st, 0 ≤ i, 0 < st[r -- _length] .intval, 0 ≤ j, okarray(r, byte_type, st), is_arrayref(r0, i0, st), r0 -- _length ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → is_bytevalue(st[r0 -- j0 ']) ⊦ r0 = jvmref, byteval(st[r0 -- j '] .byteval) = st[r0 -- j '], r = jvmref, is_bytevalue(st[r0 -- j '])

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r0 -- _type], ty] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r0 -- _type], ty)]]