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Proof step 46 from proof initsubset-put-statfield-01 (previous step)

init⊆(str, st, st0), ¬ mkfs(class, ty, fieldvar) ' ∈ statfields(class) ∨ ¬ tdname∃(str, class), ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ⊦ (∀ class0. initdone(class0, st) → initdone(class0, st0[jvmref -- mkfs(class, ty, fieldvar) ', val])) ∧ (∀ class0. initerror(class0, st) → initerror(class0, st0[jvmref -- mkfs(class, ty, fieldvar) ', val])) ∧ (∀ class0. ¬ initdone(class0, st) ∧ initdone(class0, st0[jvmref -- mkfs(class, ty, fieldvar) ', val]) ∧ tdname∃(str, class0) → validstatfields(str, statfields(class0), st0[jvmref -- mkfs(class, ty, fieldvar) ', val])) ∧ (∀ class0, sk. initdone(class0, st) ∧ initdone(class0, st0[jvmref -- mkfs(class, ty, fieldvar) ', val]) ∧ tdname∃(str, class0) ∧ sk ∈ statfields(class0) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0[jvmref -- mkfs(class, ty, fieldvar) ', val]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 45:
init⊆(str, st, st0), ¬ mkfs(class, ty, fieldvar) ' ∈ statfields(class) ∨ ¬ tdname∃(str, class), ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ⊦ (initdone(class0, st) → initdone(class0, st0[jvmref -- mkfs(class, ty, fieldvar) ', val])) ∧ (initerror(class1, st) → initerror(class1, st0[jvmref -- mkfs(class, ty, fieldvar) ', val])) ∧ ( ¬ initdone(class2, st) ∧ initdone(class2, st0[jvmref -- mkfs(class, ty, fieldvar) ', val]) ∧ tdname∃(str, class2) → validstatfields(str, statfields(class2), st0[jvmref -- mkfs(class, ty, fieldvar) ', val])) ∧ ( initdone(class3, st) ∧ initdone(class3, st0[jvmref -- mkfs(class, ty, fieldvar) ', val]) ∧ tdname∃(str, class3) ∧ sk ∈ statfields(class3) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0[jvmref -- mkfs(class, ty, fieldvar) ', val]))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]