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Proof step 18 from proof validstatfields-addclass (previous step)

fis .keys = statfields(class0), validref(str, fis[mkfs(class0, ty, fieldvar) '] .refval, ty, st), is_referencevalue(fis[mkfs(class0, ty, fieldvar) ']), type∃(str, ty), initdone(class0, addclass(class0, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), tdname∃(str, class0), mkfs(class0, ty, fieldvar) ' ∈ fis, is_reftype(ty) ⊦ ty = void_type, class0 = `java.lang.Object' .class, validrefval(str, fis[mkfs(class0, ty, fieldvar) '], ty, addclass(class0, fis, 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)
Proof step 17:
⊦ validref(str, r, ty, addclass(class, fis, st)) ↔ validref(str, r, ty, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [fis[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 : (fis[mkfs(class0, ty, fieldvar) '], r)]]