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Proof step 13 from proof okarray-01 (previous step)

⊦ r = r0, okarray(r, int_type, addarray(r0, ty0, i, st)) ↔ okarray(r, int_type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ 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 12:
⊦ r = r0, okreftype(refval(r), mkarraytype(int_type), addarray(r0, ty0, i, st)) ∧ r ≠ jvmref ∧ r -- _length ∈ addarray(r0, ty0, i, st) ∧ is_integervalue(addarray(r0, ty0, i, st)[r -- _length]) ∧ 0 ≤ (addarray(r0, ty0, i, st)[r -- _length]) .intval ∧ is_arrayref(r, (addarray(r0, ty0, i, st)[r -- _length]) .intval, addarray(r0, ty0, i, st)) ∧ (∀ j. 0 ≤ j ∧ j < (addarray(r0, ty0, i, st)[r -- _length]) .intval → oktype(addarray(r0, ty0, i, st)[r -- j '], int_type, addarray(r0, ty0, i, st))) ↔ okarray(r, int_type, 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, ty0, i, st), int_type, r] ,F ,okfuns , ,okarrayNotNull ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r0, ty0, i, st), int_type, r)]]