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Proof step 40 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) ⊦ claset = ∅, # claset = 0, ints = [], jvmref = r, initundone(class, st), jvmref ∈ refs

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 32:
⊦ initundone(class1, st) ↔ (jvmref -- mkfs(class1, void_type, `initstate' .field) ') × initval(undone) ∈ st ∨ ¬ jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st ∧ _uninit ∈ st
Proof step 39:
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) ⊦ claset = ∅, # claset = 0, ints = [], jvmref = r, (jvmref -- mkfs(class, void_type, `initstate' .field) ') × initval(undone) ∈ st ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ _uninit ∈ st, jvmref ∈ refs

Rule argument

[speclemmaarg: , initundone(class1, st) ↔ (jvmref -- mkfs(class1, void_type, `initstate' .field) ') × initval(undone) ∈ st ∨ ¬ jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st ∧ _uninit ∈ st ,[st, class1] → [st, class] ,F ,storefuns , ,initundone ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, class)]]