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Proof step 17 from proof init-put-field (previous step)

sk .fs .type = void_type, sk .fs .field = `initstate' .field, is_fskey(sk), jvmref -- sk ∈ st, jvmref ∈ st, ∀ rk. rk ∈ st ∧ rk .ref = jvmref ∧ ¬ is_indexkey(rk .key) ∧ rk .key .fs .type = void_type ∧ rk .key .fs .field = `initstate' .field → st[rk] ≠ initval(undone) ∧ st[rk] ≠ initval(error) ⊦ ty = void_type, sk = mkfs(class, ty, fieldvar) ', _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 16:
sk = fs ', fs .type = void_type, fs .field = `initstate' .field, is_fskey(sk), jvmref -- sk ∈ st, jvmref ∈ st, ∀ rk. rk ∈ st ∧ rk .ref = jvmref ∧ ¬ is_indexkey(rk .key) ∧ rk .key .fs .type = void_type ∧ rk .key .fs .field = `initstate' .field → st[rk] ≠ initval(undone) ∧ st[rk] ≠ initval(error) ⊦ ty = void_type, sk = mkfs(class, ty, fieldvar) ', _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)]]