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Proof step 27 from proof initsubset-put-statfield (previous step)

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

User applied rule all left

And obtained the following new goals

Proof step 26:
sk .fs = mkfs(class, ty, fieldvar), validstatfield(str, sk, st0[jvmref -- sk, val]), is_fskey(sk), 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), ¬ initdone(class2, st) ∧ initdone(class2, st0) ∧ tdname∃(str, class2) → validstatfields(str, statfields(class2), st0), ∀ class. ¬ initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) → validstatfields(str, statfields(class), st0), ∀ class, sk. initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0), fieldvar ≠ `initstate' .field ∨ ty ≠ void_type ⊦ sk = mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ', sk = mkfs(class0, void_type, `initstate' .field) ', ( ¬ initdone(class2, st) ∧ initdone(class2, st0[jvmref -- sk, val]) ∧ tdname∃(str, class2) → validstatfields(str, statfields(class2), st0[jvmref -- sk, val])) ∧ ( initdone(class3, st) ∧ initdone(class3, st0[jvmref -- sk, val]) ∧ tdname∃(str, class3) ∧ sk0 ∈ statfields(class3) ∧ validstatfield(str, sk0, st) → validstatfield(str, sk0, st0[jvmref -- sk, val]))

Rule argument

[EXRARG : pos: left 9, [extquanttermlist: (class2)abort:F, discard:F, computed:T]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (class2)]]