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Proof step 16 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) ∧ (st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(undone) ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st) ∧ (jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ 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)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ 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 15:
⊦ 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) ∧ (st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(undone) ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st) ∧ (jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ 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)) ∧ ¬ ( (jvmref -- mkfs(class, void_type, `initstate' .field) ') × initval(undone) ∈ st ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ _uninit ∈ st)

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)]]