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Proof step 17 from proof initsubset-initerror-02 (previous step)

type∃(str, ty), jvmref ∈ st, is_reftype(ty), initdone(class2, st), tdname∃(str, class2), mkfs(class0, ty, fieldvar) ' ∈ statfields(class2), tdname∃(str, class0), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, st), jvmref -- mkfs(class0, ty, fieldvar) ' ∈ st, is_referencevalue(st[jvmref -- mkfs(class0, ty, fieldvar) ']), validrefval(str, st[jvmref -- mkfs(class0, ty, fieldvar) '], ty, st) ⊦ class = `java.lang.Object' .class, class0 = class, ty = void_type, initdone(class, st), mkfs(class, void_type, `initstate' .field) ' ∈ fis, validref(str, st[jvmref -- mkfs(class0, ty, fieldvar) '] .refval, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
⊦ validrefval(str, refval(r), ty, st) ↔ validref(str, r, ty, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[jvmref -- mkfs(class0, ty, fieldvar) '], r] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[jvmref -- mkfs(class0, ty, fieldvar) '], r)]]