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Proof step 10 from proof union-init-01 (previous step)

⊦ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∧ _uninit ∈ st ∪ st0 ∨ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∧ st0[jvmref -- mkfs(class, void_type, `initstate' .field) '] = initval(undone) ↔ (jvmref -- mkfs(class, void_type, `initstate' .field) ') × initval(undone) ∈ st0 ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∧ _uninit ∈ st0, jvmref ∈ st, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
⊦ rk ∈ st ∪ st0 ↔ rk ∈ st ∨ rk ∈ st0
Proof step 9:
_uninit ∈ st ⊦ jvmref ∈ st, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0, _uninit ∈ st0

Rule argument

[emptyarg]

Additional information

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