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Proof step 30 from proof validrefs-addobj-junkref (previous step)

st[r1 -- i '] = refval(r2), is_array(str, r1, st), newref(r, st), st[r1 -- _type] .type ≤ ty0, i < st[r1 -- _length] .intval, validrefs(str, r2 ' + refs, st[r1 -- _type] .type .type, addobj(r, class, fis, st)), 0 ≤ i, 0 < st[r1 -- _length] .intval, ∀ str0, ty, r0, class0, fis0, st0. validrefs(str0, r2 ' + refs, ty, addobj(r0, class0, fis0, st0)) ∧ newref(r0, st0) ∧ (r0 = r2 ∨ r0 ∈ refs) → junkref(str0, r2, st0) ⊦ r1 = jvmref, r = jvmref, r = r1, junkref(str, r1, st), r ≠ r2 ∧ ¬ r ∈ refs

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, r1, str] ,F ,junkrefs , ,junkref-array ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r1, str)]]