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Proof step 60 from proof cyclic-addobj (previous step)

cyclic(str, r, addobj(r, class, fis, st)), fis .keys = instfields(class), newref(r, st), is_obj(str, r, addobj(r, class, fis, st)), validfieldinits(fis, st), ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ ∃ fs. fs ' ∈ fis ∧ fs ' ∈ instfields(class) ∧ fis[fs '] = refval(r), r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ cyclic(str, r, st) ↔ (∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, st[r -- _type] .type, st))
Proof step 59:
∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, (addobj(r, class, fis, st)[r -- _type]) .type, addobj(r, class, fis, st)), fis .keys = instfields(class), newref(r, st), is_obj(str, r, addobj(r, class, fis, st)), validfieldinits(fis, st), ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ ∃ fs. fs ' ∈ fis ∧ fs ' ∈ instfields(class) ∧ fis[fs '] = refval(r), r = jvmref

Rule argument

[crewrite-arg: cyclic-def-simple , F , [st, r, str] → [addobj(r, class, fis, st), r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addobj(r, class, fis, st), r, str)]]