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Proof step 21 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), jvmref -- mkfs(class0, ty, fieldvar) ' ∈ st, okval(st[jvmref -- mkfs(class0, ty, fieldvar) '], ty), type∃(str, ty), jvmref ∈ st, is_reftype(ty) → 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, ( is_reftype(ty) → validrefval (str, st[jvmref -- mkfs(class0, ty, fieldvar) '], ty, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))) ∧ 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 13:
⊦ goodfieldandtype(r, sk, st) ↔ is_fskey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type)
Proof step 20:
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, okval(st[jvmref -- mkfs(class0, ty, fieldvar) '], ty), type∃(str, ty), jvmref ∈ st, is_reftype(ty) → 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, ( is_reftype(ty) → validrefval (str, st[jvmref -- mkfs(class0, ty, fieldvar) '], ty, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))) ∧ is_fskey(mkfs(class0, ty, fieldvar) ') ∧ jvmref -- mkfs(class0, ty, fieldvar) ' ∈ addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st) ∧ okval (addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st)[jvmref -- mkfs(class0, ty, fieldvar) '], mkfs(class0, ty, fieldvar) ' .fs .type)

Rule argument

[speclemmaarg: , goodfieldandtype(r, sk, st) ↔ is_fskey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type) ,[st, sk, r] → [addclass (class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st), mkfs(class0, ty, fieldvar) ', jvmref] ,F ,okfuns , ,good-field-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addclass (class, fis + ( mkfs(class, void_type, `initstate' .field) ' × initval(error) ) ', st), mkfs(class0, ty, fieldvar) ', jvmref)]]