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Theorem validrefs-junkrefs

⊦ junkrefs(str, refs, ty, st) → (∃ refs0, r, refs1. refs = refs0 + r ' + refs1 ∧ validrefs(str, refs0, ty, st) ∧ r ≠ jvmref ∧ ( ¬ is_valid_ref(str, r, st) ∨ refs0 = [] ∧ ¬ st[r -- _type] .type ≤ ty ∨ refs0 ≠ [] ∧ ( is_obj(refs0 .last, st) ∧ (∃ fs. fs ' ∈ instfields(st[refs0 .last -- _type] .type .class) ∧ is_referencevalue(st[refs0 .last -- fs ']) ∧ r = st[refs0 .last -- fs '] .refval ∧ ¬ st[r -- _type] .type ≤ fs .type) ∨ is_array(refs0 .last, st) ∧ (∃ i. 0 ≤ i ∧ i < st[refs0 .last -- _length] .intval ∧ is_referencevalue(st[refs0 .last -- i ']) ∧ r = st[refs0 .last -- i '] .refval ∧ ¬ st[r -- _type] .type ≤ st[refs0 .last -- _type] .type .type))))

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