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Proof step 35 from proof initsubset-initerror-04 (previous step)

¬ ( mkfs(class, void_type, `initstate' .field) ' ≠ sk ∧ ( ¬ 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 ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ∧ (¬ is_fskey(sk) ∨ mkfs(class, void_type, `initstate' .field) ' .fs ≠ mkfs(sk .fs .class, void_type, `initstate' .field)))), validstatfield(str, sk, st), sk ∈ statfields(class3), tdname∃(str, class3), initdone(class3, st0[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)]), initdone(class3, st), ∀ 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) ⊦ initdone(class, st), validstatfield(str, sk, st0[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
is_fskey(sk), initdone(class3, st), initdone(class3, st0[jvmref -- mkfs(sk .fs .class, void_type, `initstate' .field) ', initval(error)]), tdname∃(str, class3), sk ∈ statfields(class3), validstatfield(str, sk, 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(sk .fs .class, void_type, `initstate' .field) ' = sk, validstatfield(str, sk, st0[jvmref -- mkfs(sk .fs .class, void_type, `initstate' .field) ', initval(error)]), initdone(sk .fs .class, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ mkfs (class0, void_type, fieldvar) ' ∈ statfields(class)], [CSIMPSEQ : ⊦ stringvar .field = stringvar0 .field ↔ stringvar = stringvar0], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ is_fskey(fs ')])]]