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Proof step 19 from proof initsubset-initerror-04 (previous step)

¬ ( 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)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
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

[emptyarg]

Additional information

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