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Proof step 16 from proof initsubset-initerror-04 (previous step)

tdname∃(str, class2), initdone(class2, st0), 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), ∀ class. initdone(class, st) → initdone(class, st0), ∀ class. initerror(class, st) → initerror(class, st0) ⊦ class = class2, initdone(class, st), initdone(class2, st), validstatfields(str, statfields(class2), st0[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ ¬ sk ∈ statfields(class) ∧ ( ¬ is_fskey(sk) ∨ sk .fs .type ≠ void_type ∨ sk .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ∧ sk .fs ≠ mkfs(class, void_type, `initstate' .field)) → (validstatfields(str, statfields(class), st[jvmref -- sk, val]) ↔ validstatfields(str, statfields(class), st))

Rule argument

[crewrite-arg: validstatfields-put-statfield-06 , F , [val, sk, st, class, str] → [initval(error), mkfs(class, void_type, `initstate' .field) ', st0, class2, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ mkfs (class0, void_type, fieldvar) ' ∈ statfields(class)], [CSIMPSEQ : ⊦ is_fskey(fs ')], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0], [CSIMPSEQ : ⊦ stringvar .field = stringvar0 .field ↔ stringvar = stringvar0])], [EXTRATERMS : (initval(error), mkfs(class, void_type, `initstate' .field) ', st0, class2, str)]]