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Proof step 12 from proof validstatfield-addclass-same (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ validval(str, val, ty, st) ↔ okval(val, ty) ∧ (is_referencevalue(val) → validrefval(str, val, ty, st))
Proof step 11:
okval(fis[mkfs(class, ty, fieldvar) '], ty) ∧ (is_referencevalue(fis[mkfs(class, ty, fieldvar) ']) → validrefval(str, fis[mkfs(class, ty, fieldvar) '], ty, st)), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), type∃(str, ty), mkfs(class, ty, fieldvar) ' ∈ fis, initdone(class, addclass(class, fis, st)) ⊦ class = `java.lang.Object' .class, ty = void_type, (is_reftype(ty) → validrefval(str, fis[mkfs(class, ty, fieldvar) '], ty, addclass(class, fis, st))) ∧ okval(fis[mkfs(class, ty, fieldvar) '], ty)

Rule argument

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

Additional information

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