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Proof step 16 from proof exactarray-08 (previous step)

st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(int_type)), r -- _length ∈ st, is_arrayref(r, i, st), is_integervalue(val), r -- _type ∈ st, r ∈ st, 0 ≤ i ⊦ r = jvmref, exactarray(r, int_type, st[r0 -- j ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ exactarray(r, ty, st) ↔ exactreftype(refval(r), mkarraytype(ty), st) ∧ r ≠ jvmref ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ 0 ≤ st[r -- _length] .intval ∧ is_arrayref(r, st[r -- _length] .intval, st)
Proof step 15:
st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(int_type)), r -- _length ∈ st, is_arrayref(r, i, st), is_integervalue(val), r -- _type ∈ st, r ∈ st, 0 ≤ i ⊦ r = jvmref, exactreftype(refval(r), mkarraytype(int_type), st[r0 -- j ', val]) ∧ r ≠ jvmref ∧ r -- _length ∈ st[r0 -- j ', val] ∧ is_integervalue(st[r0 -- j ', val][r -- _length]) ∧ 0 ≤ (st[r0 -- j ', val][r -- _length]) .intval ∧ is_arrayref(r, (st[r0 -- j ', val][r -- _length]) .intval, st[r0 -- j ', val])

Rule argument

[crewrite-arg: exactarray-02 , F , [st, ty, r] → [st[r0 -- j ', val], int_type, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r0 -- j ', val], int_type, r)]]