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Proof step 32 from proof initsubset-initerror-02 (previous step)

validstatfield(str, sk, st), sk ∈ statfields(class2), tdname∃(str, class2), initdone(class2, st) ⊦ class = `java.lang.Object' .class, mkfs(class, void_type, `initstate' .field) ' ∈ fis, initdone(class, st), ¬ is_indexkey(sk) ∧ sk ∈ statfields(sk .fs .class) ∧ tdname∃(str, sk .fs .class) ∧ ( initdone(sk .fs .class, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st)) → validfield(str, jvmref, sk, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st)))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 31:
sk .fs = mkfs(class0, ty, fieldvar), validstatfield(str, sk, st), sk ∈ statfields(class2), tdname∃(str, class2), initdone(class2, st) ⊦ class = `java.lang.Object' .class, mkfs(class, void_type, `initstate' .field) ' ∈ fis, initdone(class, st), ¬ is_indexkey(sk) ∧ sk ∈ statfields(class0) ∧ tdname∃(str, class0) ∧ ( initdone(class0, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st)) → validfield(str, jvmref, sk, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st)))

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [sk .fs, class0, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (sk .fs, class0, ty, fieldvar)]]