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Proof step 16 from proof okarray-union-03 (previous step)

¬ is_integervalue(st[r -- _length]), r -- _length ∈ st, okarray(refval(r), ty, st[r -- _length] .intval, st), r ∈ st ⊦ r = jvmref, (0 ≤ j ∧ j < st[r -- _length] .intval → oktype((st0 ∪ st)[r -- j '], ty, st0 ∪ st)) ∧ is_arrayref(r, st[r -- _length] .intval, st0 ∪ st) ∧ ¬ st[r -- _length] .intval < 0 ∧ st[r -- _length] = intval(st[r -- _length] .intval) ∧ okreftype(refval(r), mkarraytype(ty), st0 ∪ st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
⊦ okarray(refval(r), ty, i, st) → st[r -- _length] .intval = i
Proof step 15:
okarray(refval(r), ty, 0, st), r -- _length ∈ st, r ∈ st ⊦ r = jvmref, is_integervalue(st[r -- _length]), is_arrayref(r, 0, st0 ∪ st) ∧ st[r -- _length] = intval(0) ∧ okreftype(refval(r), mkarraytype(ty), st0 ∪ st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ is_integervalue(val) → val .intval = 0])]]