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Proof step 11 from proof validrefs-applast-array-null (previous step)

st[r -- _type] = typeval(mkarraytype(ty0)), type∃(str, ty0), validrefs(str, refs + r ', ty, st), r ∈ st, 0 < st[r -- _length] .intval, 0 ≤ i, is_reftype(ty0), i < st[r -- _length] .intval, r -- _type ∈ st, okarray(r, ty0, st) ⊦ r = jvmref, ty0 .jtelemtype = void_type, ty0 .jtelemtype = abstract_type, is_referencevalue(st[r -- i ']), validrefs(str, refs + r ' + jvmref ', ty, st)

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, ty0, r] ,F ,okfuns , ,okarrayNotNull ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty0, r)]]