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Proof step 8 from proof compatarray-isarray-01 (previous step)

st[r -- _type] = typeval(mkarraytype(ty)), okarray(r, ty, st), r ∈ st, r -- _length ∈ st, r -- _type ∈ st, ∀ i. ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i → compat(str, st[r -- i '], ty, st) ⊦ r = jvmref, (0 ≤ j ∧ j < st[r -- _length] .intval → compat(str, st[r -- j '], ty, st)) ∧ is_arrayref(r, st[r -- _length] .intval, st) ∧ is_integervalue(st[r -- _length])

User applied rule insert rewrite lemma

And obtained the following new goals

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] → [st, ty, r] ,F ,okfuns , ,okarrayNotNull ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, r)]]