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Proof step 50 from proof cyclic-addobj (previous step)

fis .keys = instfields(class), validfieldinits(fis, st), is_obj(str, r, addobj(r, class, fis, st)), newref(r, st), ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st), refs0 = [] ∨ fs ' ∈ instfields(class) ∧ is_referencevalue(addobj(r, class, fis, st)[r -- fs ']) ∧ refs0 .first = (addobj(r, class, fis, st)[r -- fs ']) .refval ∧ validrefs(str, refs0, fs .type, addobj(r, class, fis, st)) ⊦ r = jvmref, ¬ r ∈ refs0 ∧ ¬ dups(refs0), ∃ fs. fs ' ∈ fis ∧ fs ' ∈ instfields(class) ∧ fis[fs '] = refval(r)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class0, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class0, ty, fieldvar)]]