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Proof step 42 from proof cyclic-addobj (previous step)

fis .keys = instfields(class), (addobj(r, class, fis, st)[r -- mkfs(class0, ty, fieldvar) ']) = refval(r1), validrefs(str, r1 ' + refs, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ 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) ⊦ r = jvmref, r ≠ r1 ∧ ¬ r ∈ refs ∧ ¬ r1 ∈ refs ∧ ¬ dups(refs), ∃ fs. fs ' ∈ fis ∧ fs ' ∈ instfields(class) ∧ fis[fs '] = refval(r)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , ¬ sk ∈ fis ∧ sk ≠ _type → (addobj(r, class, fis, st)[r -- sk]) = st[r -- sk] ,[sk, st, fis, class, r] → [mkfs(class0, ty, fieldvar) ', st, fis, class, r] ,F ,addfuns , ,add-notin ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (mkfs(class0, ty, fieldvar) ', st, fis, class, r)]]