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Proof step 37 from proof initsubset-initerror-02 (previous step)

⊦ class = `java.lang.Object' .class, initdone(class, st), mkfs(class, void_type, `initstate' .field) ' ∈ fis, (∀ class0. initdone(class0, st) → initdone(class0, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))) ∧ (∀ class0. initerror(class0, st) → initerror(class0, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))) ∧ (∀ class0. ¬ initdone(class0, st) ∧ initdone(class0, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st)) ∧ tdname∃(str, class0) → validstatfields(str, statfields(class0), addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))) ∧ (∀ class0, sk. initdone(class0, st) ∧ initdone(class0, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st)) ∧ tdname∃(str, class0) ∧ sk ∈ statfields(class0) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
⊦ class = `java.lang.Object' .class, initdone(class, st), mkfs(class, void_type, `initstate' .field) ' ∈ fis, (initerror(class0, st) → initerror(class0, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))) ∧ ( ¬ initdone(class1, st) ∧ initdone(class1, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st)) ∧ tdname∃(str, class1) → validstatfields(str, statfields(class1), addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))) ∧ ( initdone(class2, st) ∧ tdname∃(str, class2) ∧ sk ∈ statfields(class2) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st)))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : class1 ≠ class2, class2 ≠ `java.lang.Object' .class ⊦ initdone (class1, addclass(class2, fis, st)) ↔ initdone(class1, st)])]]