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Proof step 45 from proof nouninit-addarrays (previous step)

newref_list(i→n(countrefs(ints)), st) = r ' + refs, 0 ≤ i, posints(ints), class ∈ claset, (jvmref -- mkfs(class, void_type, `initstate' .field) ') × initval(undone) ∈ addarrays(r ' + refs, ty, ints, i, st) ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ addarrays(r ' + refs, ty, ints, i, st) ∧ _uninit ∈ addarrays(r ' + refs, ty, ints, i, st) ⊦ claset = ∅, ints = [], # claset = 0, initundone(class, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
newref_list(i→n(countrefs(ints)), st) = r ' + refs, 0 ≤ i, posints(ints), class ∈ claset, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ addarrays(r ' + refs, ty, ints, i, st) ∧ (addarrays(r ' + refs, ty, ints, i, st)[jvmref -- mkfs(class, void_type, `initstate' .field) ']) = initval(undone) ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ addarrays(r ' + refs, ty, ints, i, st) ∧ _uninit ∈ addarrays(r ' + refs, ty, ints, i, st) ⊦ claset = ∅, ints = [], # claset = 0, initundone(class, st)

Rule argument

[emptyarg]

Additional information

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