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Proof step 24 from proof validstatfields-addclass (previous step)

fis .keys = statfields(class0), mkfs(class0, ty, fieldvar) ' ∈ fis, tdname∃(str, class0), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, addclass(class0, fis, st)), type∃(str, ty), validval(str, fis[mkfs(class0, ty, fieldvar) '], ty, st) ⊦ class0 = `java.lang.Object' .class, ty = void_type, (is_reftype(ty) → validrefval(str, fis[mkfs(class0, ty, fieldvar) '], ty, addclass(class0, fis, st))) ∧ okval(fis[mkfs(class0, ty, fieldvar) '], ty)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ validval(str, val, ty, st) ↔ okval(val, ty) ∧ (is_referencevalue(val) → validrefval(str, val, ty, st))
Proof step 23:
fis .keys = statfields(class0), mkfs(class0, ty, fieldvar) ' ∈ fis, tdname∃(str, class0), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, addclass(class0, fis, st)), type∃(str, ty), okval(fis[mkfs(class0, ty, fieldvar) '], ty) ∧ (is_referencevalue(fis[mkfs(class0, ty, fieldvar) ']) → validrefval(str, fis[mkfs(class0, ty, fieldvar) '], ty, st)) ⊦ class0 = `java.lang.Object' .class, ty = void_type, (is_reftype(ty) → validrefval(str, fis[mkfs(class0, ty, fieldvar) '], ty, addclass(class0, fis, st))) ∧ okval(fis[mkfs(class0, ty, fieldvar) '], ty)

Rule argument

[crewrite-arg: validval-def , F , [st, ty, val, str] → [st, ty, fis[mkfs(class0, ty, fieldvar) '], str] ]

Additional information

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