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Proof step 9 from proof init-1dim-04 (previous step)

⊦ 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 ∈ addarray(r, val, i, st) ↔ (jvmref -- mkfs(class1, void_type, `initstate' .field) ') × initval(undone) ∈ st ∨ ¬ jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st ∧ _uninit ∈ st

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ rk ∈ st → rk ∈ addarray(r, val, i, st)
Proof step 8:
_uninit ∈ addarray(r, val, i, st) ⊦ 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], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ ¬ ¬ (rk ∈ st ∧ st[rk] = val)])]]