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Proof step 19 from proof init-def (previous step)

∀ 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)) ∧ (jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ ¬ _uninit ∈ st) ⊦ ¬ _uninit ∈ st ∧ ( r -- sk ∈ st ∧ r = jvmref ∧ is_fskey(sk) ∧ sk .fs .type = void_type ∧ sk .fs .field = `initstate' .field → 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 18:
sk .fs = mkfs(class0, ty, fieldvar), ∀ 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)) ∧ (jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ ¬ _uninit ∈ st) ⊦ ¬ _uninit ∈ st ∧ ( r -- sk ∈ st ∧ r = jvmref ∧ is_fskey(sk) ∧ ty = void_type ∧ fieldvar = `initstate' .field → st[jvmref -- sk] ≠ initval(undone) ∧ st[jvmref -- sk] ≠ initval(error))

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [sk .fs, class0, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (sk .fs, class0, ty, fieldvar)]]