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Proof step 29 from proof initsubset-initerror-02 (previous step)

sk .fs = mkfs(class0, ty, fieldvar), is_fskey(sk), initdone(class2, st), tdname∃(str, class2), sk ∈ statfields(class2), tdname∃(str, class0), sk ∈ statfields(class0), initdone(class0, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st)), initdone(class0, st) → validfield(str, jvmref, sk, st) ⊦ class = `java.lang.Object' .class, initdone(class, st), mkfs(class, void_type, `initstate' .field) ' ∈ fis, 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 28:
sk = fs ', fs = mkfs(class0, ty, fieldvar), is_fskey(sk), initdone(class2, st), tdname∃(str, class2), sk ∈ statfields(class2), tdname∃(str, class0), sk ∈ statfields(class0), initdone(class0, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st)), initdone(class0, st) → validfield(str, jvmref, sk, st) ⊦ class = `java.lang.Object' .class, initdone(class, st), mkfs(class, void_type, `initstate' .field) ' ∈ fis, validfield(str, jvmref, sk, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st))

Rule argument

[speclemmaarg: ,is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') ,[sk, fs] → [sk, fs] ,T ,storekey , ,elim-03 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk, fs)]]