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Proof step 9 from proof nouninit-addarrays (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
newref_list(i→n(countrefs(ints)), st) = r ' + refs, 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 ∈ st, ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ (addarrays(r ' + refs, ty, ints, i, st)[jvmref -- mkfs(class, void_type, `initstate' .field) ']) ≠ initval(undone) ⊦ claset = ∅, ints = [], # claset = 0, jvmref = r, 1 + # refs = i→n(countrefs(ints)), jvmref ∈ refs, ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ _uninit ∈ addarrays(r ' + refs, ty, ints, i, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ # r ' = 0 +1], [CSIMPSEQ : ⊦ # (refs + refs0) = # refs + # refs0], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ≠ r0 → (r ∈ r0 ' + refs ↔ r ∈ refs)])]]