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Proof step 38 from proof nouninit-addarrays (previous step)

newref_list(1 + # refs, st) = r ' + refs, 1 + # refs = i→n(countrefs(ints)), 0 ≤ i, posints(ints), class ∈ claset, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ st[jvmref -- mkfs(class, void_type, `initstate' .field) '] = initval(undone) ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ _uninit ∈ addarrays(r ' + refs, ty, ints, i, st), ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(undone) ⊦ claset = ∅, # claset = 0, ints = [], jvmref = r, jvmref ∈ refs, ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ _uninit ∈ st

User applied rule case distinction

And obtained the following new goals

Proof step 37:
¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ _uninit ∈ addarrays(r ' + refs, ty, ints, i, st), newref_list(1 + # refs, st) = r ' + refs, 1 + # refs = i→n(countrefs(ints)), 0 ≤ i, posints(ints), class ∈ claset, ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(undone) ⊦ claset = ∅, # claset = 0, ints = [], jvmref = r, jvmref ∈ refs, ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ _uninit ∈ st

Rule argument

[CASEDARG : pos: left 6, ()]

Additional information

[[CONCRETESIMPRULES : ()]]