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Proof step 11 from proof union-init (previous step)

⊦ ¬ (jvmref -- mkfs(class, void_type, `initstate' .field) ') × initval(error) ∈ st ∪ st0 ∧ ¬ initundone(class, st0) ↔ ¬ initerror(class, st0) ∧ ¬ initundone(class, st0), jvmref ∈ st

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ rk ∈ st ∪ st0 ↔ rk ∈ st ∨ rk ∈ st0
Proof step 10:
⊦ ( ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∨ (st ∪ st0)[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(error)) ∧ ¬ initundone(class, st0) ↔ ¬ initerror(class, st0) ∧ ¬ initundone(class, st0), jvmref ∈ st

Rule argument

[emptyarg]

Additional information

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