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Proof step 15 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, 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])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
st[r -- _type] = typeval(mkarraytype(int_type)), st[r -- _length] = intval(i), 0 ≤ i, r ∈ st, r -- _type ∈ st, is_integervalue(val), is_arrayref(r, i, st), r -- _length ∈ st ⊦ r = jvmref, exactreftype(refval(r), mkarraytype(int_type), st[r0 -- j ', val]) ∧ is_arrayref(r, i, st[r0 -- j ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ intval(i) .intval = i], [CSIMPSEQ : ⊦ is_integervalue(intval(i))], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ (st[r -- i ', val][r0 -- _length] ) = st[r0 -- _length]], [CSIMPSEQ : ⊦ _length ≠ i '], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st])]]