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Proof step 74 from proof cyclic-addobj (previous step)

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

User applied rule exists right

And obtained the following new goals

Proof step 73:
fis .keys = instfields(class), fis[fs '] = refval(r), validfieldinits(fis, st), is_obj(str, r, addobj(r, class, fis, st)), newref(r, st), fs ' ∈ instfields(class), fs ' ∈ fis, ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ r = jvmref, dups(r ' + r ') ∧ (r ' + r ') .first = r ∧ validrefs(str, r ' + r ', mkclasstype(class), addobj((r ' + r ') .first, class, fis, st))

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (r ' + r ') abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r ' + r ')]]