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Proof step 30 from proof validrefs-putbar-01 (previous step)

st[r0 -- i0 '] = refval(r1), 0 ≤ i0, 0 < st[r0 -- _length] .intval, is_array(str, r0, st), okbytearray(r, st), is_array(str, r0, putByteArray(bytes, r, i, st)), st[r0 -- _type] .type ≤ ty, i0 < st[r0 -- _length] .intval, validrefs(str, r1 ' + refs1, st[r0 -- _type] .type .type, putByteArray(bytes, r, i, st)), junkref(str, r1, st), ∀ i, bytes, ty, r2, str, st0, r, refs. # refs < # (r1 + refs1) → ( okbytearray(r, st0) ∧ validrefs(str, r2 ' + refs, ty, putByteArray(bytes, r, i, st0)) → junkref(str, r2, st0) ∨ validrefs(str, r2 ' + refs, ty, st0)) ⊦ r0 = r, r0 = jvmref, junkref(str, r0, st), validrefs(str, r1 ' + refs1, st[r0 -- _type] .type .type, st)

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)]]