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Proof step 7 from proof initundone-05 (previous step)

∀ class1. initdone(class1, st) ⊦ (¬ jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st ∨ st[jvmref -- mkfs(class1, void_type, `initstate' .field) '] ≠ initval(undone)) ∧ (jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st ∨ ¬ _uninit ∈ st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ initdone(class1, st) ↔ ¬ ¬ (¬ initerror(class1, st) ∧ ¬ initundone(class1, st))
Proof step 4:
⊦ initerror(class1, st) ↔ ¬ ¬ (jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st ∧ st[jvmref -- mkfs(class1, void_type, `initstate' .field) '] = initval(error))
Proof step 5:
⊦ initundone(class1, st) ↔ ¬ ¬ ( (jvmref -- mkfs(class1, void_type, `initstate' .field) ') × initval(undone) ∈ st ∨ ¬ jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st ∧ _uninit ∈ st)
Proof step 6:
∀ class. (¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(error)) ∧ (¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(undone)) ∧ (jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ ¬ _uninit ∈ st) ⊦ (¬ jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st ∨ st[jvmref -- mkfs(class1, void_type, `initstate' .field) '] ≠ initval(undone)) ∧ (jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st ∨ ¬ _uninit ∈ st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk × val ∈ st ↔ ¬ ¬ (rk ∈ st ∧ st[rk] = val)])]]