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Proof step 33 from proof initsubset-initerror-04 (previous step)

sk = fs ', is_fskey(sk), initdone(class3, st), initdone(class3, st0[jvmref -- mkfs(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(fs .class, void_type, `initstate' .field) ' = sk, validstatfield(str, sk, st0[jvmref -- mkfs(fs .class, void_type, `initstate' .field) ', initval(error)]), initdone(fs .class, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
initdone(class3, st), initdone(class3, st0[jvmref -- mkfs(fs .class, void_type, `initstate' .field) ', initval(error)]), tdname∃(str, class3), fs ' ∈ statfields(class3), validstatfield(str, fs ', 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(fs .class, void_type, `initstate' .field) = fs, validstatfield(str, fs ', st0[jvmref -- mkfs(fs .class, void_type, `initstate' .field) ', initval(error)]), initdone(fs .class, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(fs ')], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0])]]