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Proof step 23 from proof initsubset-initerror-02 (previous step)

initdone(class2, st), tdname∃(str, class2), mkfs(class0, ty, fieldvar) ' ∈ statfields(class2), tdname∃(str, class0), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, st), validfield(str, jvmref, mkfs(class0, ty, fieldvar) ', st) ⊦ class = `java.lang.Object' .class, class0 = class, ty = void_type, initdone(class, st), mkfs(class, void_type, `initstate' .field) ' ∈ fis, ( is_reftype(ty) → validrefval (str, st[jvmref -- mkfs(class0, ty, fieldvar) '], ty, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))) ∧ type∃(str, ty) ∧ goodfieldandtype(jvmref, mkfs(class0, ty, fieldvar) ', addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ validfield(str, r, sk, st) ↔ goodfieldandtype(r, sk, st) ∧ type∃(str, sk .fs .type) ∧ sk .fs .type ≠ void_type ∧ (is_reftype(sk .fs .type) → validrefval(str, st[r -- sk], sk .fs .type, st))
Proof step 22:
initdone(class2, st), tdname∃(str, class2), mkfs(class0, ty, fieldvar) ' ∈ statfields(class2), tdname∃(str, class0), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, st), goodfieldandtype(jvmref, mkfs(class0, ty, fieldvar) ', st) ∧ type∃(str, mkfs(class0, ty, fieldvar) ' .fs .type) ∧ mkfs(class0, ty, fieldvar) ' .fs .type ≠ void_type ∧ ( is_reftype(mkfs(class0, ty, fieldvar) ' .fs .type) → validrefval(str, st[jvmref -- mkfs(class0, ty, fieldvar) '], mkfs(class0, ty, fieldvar) ' .fs .type, st)) ⊦ class = `java.lang.Object' .class, class0 = class, ty = void_type, initdone(class, st), mkfs(class, void_type, `initstate' .field) ' ∈ fis, ( is_reftype(ty) → validrefval (str, st[jvmref -- mkfs(class0, ty, fieldvar) '], ty, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))) ∧ type∃(str, ty) ∧ goodfieldandtype(jvmref, mkfs(class0, ty, fieldvar) ', addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))

Rule argument

[crewrite-arg: validfield-def , F , [st, sk, r, str] → [st, mkfs(class0, ty, fieldvar) ', jvmref, str] ]

Additional information

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