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Proof step 32 from proof initsubset-initerror-04 (previous step)

initdone(class3, st), initdone(class3, st0[jvmref -- mkfs(fs .class, void_type, `initstate' .field) ', initval(error)]), tdname∃(str, class3), fs ' ∈ statfields(class3), validstatfield(str, fs ', st), ∀ class, sk. initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0), ∀ class. ¬ initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) → validstatfields(str, statfields(class), st0), ∀ class. initerror(class, st) → initerror(class, st0), ∀ class. initdone(class, st) → initdone(class, st0) ⊦ mkfs(fs .class, void_type, `initstate' .field) = fs, validstatfield(str, fs ', st0[jvmref -- mkfs(fs .class, void_type, `initstate' .field) ', initval(error)]), initdone(fs .class, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

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