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Proof step 15 from proof union-init-01 (previous step)

⊦ initundone(class, st ∪ st0) ↔ initundone(class, st0), jvmref ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ 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 14:
⊦ (jvmref -- mkfs(class, void_type, `initstate' .field) ') × initval(undone) ∈ st ∪ st0 ∨ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∪ st0 ∧ _uninit ∈ st ∪ st0 ↔ initundone(class, st0), jvmref ∈ 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 ∪ st0, class] ,F ,storefuns , ,initundone ]

Additional information

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