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Proof step 15 from proof okarray-06 (previous step)

newref(r0, st), r ∈ st ⊦ okreftype(refval(r), mkarraytype(byte_type), addarray(r0, ty, vals, st)) ∧ r ≠ jvmref ∧ r -- _length ∈ addarray(r0, ty, vals, st) ∧ is_integervalue(addarray(r0, ty, vals, st)[r -- _length]) ∧ 0 ≤ (addarray(r0, ty, vals, st)[r -- _length]) .intval ∧ is_arrayref(r, (addarray(r0, ty, vals, st)[r -- _length]) .intval, addarray(r0, ty, vals, st)) ∧ (∀ j. 0 ≤ j ∧ j < (addarray(r0, ty, vals, st)[r -- _length]) .intval → oktype(addarray(r0, ty, vals, st)[r -- j '], byte_type, addarray(r0, ty, vals, st))) ↔ okarray(r, byte_type, st), r0 = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ newref(r, st) ∧ r0 ∈ st → (addarray(r, ty, vals, st)[r0 -- sk]) = st[r0 -- sk]
Proof step 14:
newref(r0, st), r ∈ st ⊦ r0 = jvmref, okreftype(refval(r), mkarraytype(byte_type), addarray(r0, ty, vals, st)) ∧ r ≠ jvmref ∧ r -- _length ∈ addarray(r0, ty, vals, st) ∧ is_integervalue(st[r -- _length]) ∧ 0 ≤ st[r -- _length] .intval ∧ is_arrayref(r, st[r -- _length] .intval, addarray(r0, ty, vals, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → is_bytevalue(st[r -- j '])) ↔ okarray(r, byte_type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ oktype(val, byte_type, st) ↔ is_bytevalue(val)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]