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Proof step 11 from proof onlymod-init-02 (previous step)

st[jvmref -- mkfs(class, void_type, `initstate' .field) '] = initval(error), onlyModified(r, st, st0), jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st, jvmref ∈ st ⊦ r = jvmref, (jvmref -- mkfs(class, void_type, `initstate' .field) ') × initval(error) ∈ st0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
st[jvmref -- mkfs(class, void_type, `initstate' .field) '] = initval(error), onlyModified(r, st, st0), jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st, jvmref ∈ st, ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∨ st0[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(error) ⊦ r = jvmref

Rule argument

[emptyarg]

Additional information

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