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Proof step 23 from proof validrefs-junkrefs-01 (previous step)

acc + refs0 = r0 ' + refs, st[r -- mkfs(class, ty0, fieldvar) '] = refval(r0), st[r -- _type] .type ≤ ty, junkrefs(str, acc + refs0, ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), ∀ str, refs0, ty, st. junkrefs(str, acc + refs0, ty, st) → junkrefs(str, acc, ty, st) ∨ validrefs(str, acc, ty, st) ⊦ acc + refs0 = [], r = jvmref, validrefs(str, r ' + acc, ty, st), junkrefs(str, r ' + acc, ty, st), ¬ r0 ∈ acc ∧ ¬ r0 ∈ refs0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , is_obj(str, r, st) ∧ st[r -- _type] .type ≤ ty → ( junkrefs(str, r ' + refs, ty, st) ↔ refs ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ refs .first = st[r -- fs '] .refval ∧ junkrefs(str, refs, fs .type, st))) ,[st, ty, refs, r, str] → [st, ty, acc, r, str] ,F ,junkrefs , ,junkrefs-class ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, acc, r, str)]]