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Proof step 17 from proof ex-fits-validrefs-stronger (previous step)

st[r -- sk] = refval(r0), st[r -- _type] .type = mkclasstype(class), sk ∈ instfields(class), fits(r0, sks0, st), junkref(str, r0, st), is_obj(str, r, st) ⊦ r = jvmref, junkref(str, r, st), validrefs(str, r ' + r0 ' + refs, mkclasstype(class), st) ∧ # refs = # sks0 ∧ (sks ⊑ sk ' + sks0 ∧ sks ≠ [] → st[r -- sks] .refval = (r ' + r0 ' + refs)[# sks])

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, r, str] ,F ,junkrefs , ,junkref-class ]

Additional information

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