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Proof step 20 from proof initsubset-initerror-04 (previous step)

tdname∃(str, class2), initdone(class2, st0), ∀ class. initdone(class, st) → initdone(class, 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) ⊦ 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 14:
⊦ validstatfields(str, sks, st) ∧ (¬ sk ∈ statfields(sk .fs .class) ∨ ¬ tdname∃(str, sk .fs .class)) ∧ is_fskey(sk) ∧ (sk .fs .type ≠ void_type ∨ sk .fs .field ≠ `initstate' .field ∧ sk .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field)) → validstatfields(str, sks, st[jvmref -- sk, val])
Proof step 19:
¬ ( validstatfields(str, statfields(class2), st0) ∧ ( ¬ mkfs(class, void_type, `initstate' .field) ' ∈ statfields(mkfs(class, void_type, `initstate' .field) ' .fs .class) ∨ ¬ tdname∃(str, mkfs(class, void_type, `initstate' .field) ' .fs .class)) ∧ is_fskey(mkfs(class, void_type, `initstate' .field) ') ∧ ( mkfs(class, void_type, `initstate' .field) ' .fs .type ≠ void_type ∨ mkfs(class, void_type, `initstate' .field) ' .fs .field ≠ `initstate' .field ∧ mkfs(class, void_type, `initstate' .field) ' .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field))), tdname∃(str, class2), initdone(class2, st0), ∀ class. initdone(class, st) → initdone(class, 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) ⊦ class = class2, initdone(class, st), initdone(class2, st), validstatfields(str, statfields(class2), st0[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)])

Rule argument

[crewrite-arg: validstatfields-put-statfield-03 , F , [val, sk, st, sks, str] → [initval(error), mkfs(class, void_type, `initstate' .field) ', st0, statfields(class2), str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (initval(error), mkfs(class, void_type, `initstate' .field) ', st0, statfields(class2), str)]]