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Proof step 57 from proof validrefs-putbar-01 (previous step)

st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), validrefs(str, r1 ' + refs1, ty0, putByteArray(bytes, r, i, st)), okbytearray(r, st), is_obj(str, r0, putByteArray(bytes, r, i, st)), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), junkref(str, r1, st), ∀ i, bytes, ty, r0, str, st, r, refs. # refs < # (r1 + refs1) → (okbytearray(r, st) ∧ validrefs(str, r0 ' + refs, ty, putByteArray(bytes, r, i, st)) → junkref(str, r0, st) ∨ validrefs(str, r0 ' + refs, ty, st)) ⊦ r0 = jvmref, junkref(str, r0, st), validrefs(str, r1 ' + refs1, ty0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , is_obj(str, r, st) → ( junkref(str, r, st) ↔ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ ( ¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st)))) ,[st, r, str] → [st, r0, str] ,F ,junkrefs , ,junkref-class ]

Additional information

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