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Proof step 30 from proof validrefs-del-junkrefs (previous step)

st[r0 -- i '] = refval(r), 0 < st[r0 -- _length] .intval, 0 ≤ i, junkrefs(str, r ', st[r0 -- _type] .type .type, st -- r), i < st[r0 -- _length] .intval, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty ⊦ r = r0, r0 = jvmref, r = jvmref, junkref(str, r0, st), is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ st[r0 -- _type] .type .type

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , is_array(str, r, st) → ( junkref(str, r, st) ↔ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ st[r -- i '] .refval ≠ jvmref ∧ ( ¬ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∨ junkref(str, st[r -- i '] .refval, st)))) ,[st, r, str] → [st, r0, str] ,F ,junkrefs , ,junkref-array ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r0, str)]]