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Proof step 19 from proof addarrays-initdone (previous step)

⊦ mkfs(class, void_type, `initstate' .field) ' = _type, (st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(error) ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st) ∧ ¬ ( (jvmref -- mkfs(class, void_type, `initstate' .field) ') × initval(undone) ∈ addarrays(refs, ty, ints, i, st) ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ addarrays(refs, ty, ints, i, st) ∧ _uninit ∈ addarrays(refs, ty, ints, i, st)) ↔ (¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(error)) ∧ ¬ initundone(class, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
⊦ mkfs(class, void_type, `initstate' .field) ' = _type, (st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(error) ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st) ∧ ( ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ addarrays(refs, ty, ints, i, st) ∨ (addarrays(refs, ty, ints, i, st)[jvmref -- mkfs(class, void_type, `initstate' .field) ']) ≠ initval(undone)) ∧ (jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ addarrays(refs, ty, ints, i, st) ∨ ¬ _uninit ∈ addarrays(refs, ty, ints, i, st)) ↔ (¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(error)) ∧ ¬ initundone(class, st)

Rule argument

[emptyarg]

Additional information

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