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Proof step 12 from proof initsubset-put-statfield (previous step)

sk .fs = mkfs(`java.lang.Object' .class, void_type, `uninit' .field), initdone(class2, st0), tdname∃(str, class2), validstatfield(str, sk, st0[jvmref -- sk, val]), is_fskey(sk), validstatfields(str, statfields(class2), st0), initdone(class0, st) → initdone(class0, st0), initdone(class1, st) → initdone(class1, st0), ∀ class. initdone(class, st) → initdone(class, st0), initerror(class1, st) → initerror(class1, st0), ∀ class. initerror(class, st) → initerror(class, st0), ∀ class. ¬ initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) → validstatfields(str, statfields(class), st0), initdone(class3, st) ∧ initdone(class3, st0) ∧ tdname∃(str, class3) ∧ sk0 ∈ statfields(class3) ∧ validstatfield(str, sk0, st) → validstatfield(str, sk0, st0), ∀ class, sk. initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0) ⊦ sk = mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ', sk = mkfs(class0, void_type, `initstate' .field) ', sk = mkfs(class2, void_type, `initstate' .field) ', sk = mkfs(class3, void_type, `initstate' .field) ', validstatfields(str, statfields(class2), st0[jvmref -- sk, val]), initdone(class2, st)

Heuristic elimination applied rule insert elim lemma

And closed the goal!

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)]]