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Proof step 3 from proof initsubset-initerror-02 (previous step)

initerror(class0, st) ⊦ class = `java.lang.Object' .class, mkfs(class, void_type, `initstate' .field) ' ∈ fis, initdone(class, st), initerror(class0, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: class1 ≠ class2 ,initerror(class1, addclass(class2, fis, st)) ↔ initerror(class1, st) ,[st, fis, class2, class1] → [st, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', class, class0] ,F ,addfuns , ,ac-init-05 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ¬ mkfs (class1, void_type, `initstate' .field) ' ∈ fis ⊦ initerror (class1, addclass (class1, fis + ( mkfs (class1, void_type, `initstate' .field) ' × val ) ', st)) ↔ val = initval(error)], [CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1])], [EXTRATERMS : (st, fis + ( mkfs(class, void_type, `initstate' .field) ' × initval(error) ) ', class, class0)]]