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Proof step 16 from proof init-def (previous step)

sk .fs = mkfs(class0, void_type, `initstate' .field), is_fskey(sk), jvmref -- sk ∈ st, jvmref ∈ st, ∀ class. (¬ 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) ' ∈ st ∨ st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(undone)) ⊦ _uninit ∈ st, st[jvmref -- sk] ≠ initval(undone) ∧ st[jvmref -- sk] ≠ initval(error)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
sk = fs ', fs = mkfs(class0, void_type, `initstate' .field), is_fskey(sk), jvmref -- sk ∈ st, jvmref ∈ st, ∀ class. (¬ 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) ' ∈ st ∨ st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(undone)) ⊦ _uninit ∈ st, st[jvmref -- sk] ≠ initval(undone) ∧ st[jvmref -- sk] ≠ initval(error)

Rule argument

[speclemmaarg: ,is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') ,[sk, fs] → [sk, fs] ,T ,storekey , ,elim-03 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk, fs)]]