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Proof step 11 from proof union-init-01 (previous step)

⊦ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∧ _uninit ∈ st ∪ st0 ∨ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∧ st0[jvmref -- mkfs(class, void_type, `initstate' .field) '] = initval(undone) ↔ initundone(class, st0), jvmref ∈ st, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ 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 10:
⊦ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∧ _uninit ∈ st ∪ st0 ∨ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∧ st0[jvmref -- mkfs(class, void_type, `initstate' .field) '] = initval(undone) ↔ (jvmref -- mkfs(class, void_type, `initstate' .field) ') × initval(undone) ∈ st0 ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∧ _uninit ∈ st0, jvmref ∈ st, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ 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] → [st0, class] ,F ,storefuns , ,initundone ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, class)]]