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Proof step 19 from proof isarray-addarray-01 (previous step)

st[r1 -- _type] = typeval(mkarraytype(ty0)), r1 ∈ st, r1 -- _type ∈ st, okarray(r1, ty0, addarray(r0, ty, vals, st)) ⊦ r1 = r0, r1 = jvmref, okarray(r1, ty0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ okarray(r, ty, st) ↔ okreftype(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) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → oktype(st[r -- j '], ty, st))
Proof step 18:
st[r1 -- _type] = typeval(mkarraytype(ty0)), r1 ∈ st, r1 -- _type ∈ st, okreftype(refval(r1), mkarraytype(ty0), addarray(r0, ty, vals, st)) ∧ r1 ≠ jvmref ∧ r1 -- _length ∈ addarray(r0, ty, vals, st) ∧ is_integervalue(addarray(r0, ty, vals, st)[r1 -- _length]) ∧ 0 ≤ (addarray(r0, ty, vals, st)[r1 -- _length]) .intval ∧ is_arrayref(r1, (addarray(r0, ty, vals, st)[r1 -- _length]) .intval, addarray(r0, ty, vals, st)) ∧ (∀ j. 0 ≤ j ∧ j < (addarray(r0, ty, vals, st)[r1 -- _length]) .intval → oktype(addarray(r0, ty, vals, st)[r1 -- j '], ty0, addarray(r0, ty, vals, st))) ⊦ r1 = r0, r1 = jvmref, okarray(r1, ty0, st)

Rule argument

[speclemmaarg: , okarray(r, ty, st) ↔ okreftype(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) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → oktype(st[r -- j '], ty, st)) ,[st, ty, r] → [addarray(r0, ty, vals, st), ty0, r1] ,F ,okfuns , ,okarrayNotNull ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r0, ty, vals, st), ty0, r1)]]