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Proof step 6 from proof init-put-06 (previous step)

fs .type = void_type, fs .field = `initstate' .field, jvmref -- fs ' ∈ st, jvmref ∈ st, ∀ rk. (rk = r -- i ' ∨ rk ∈ st) ∧ rk .ref = jvmref ∧ ¬ is_indexkey(rk .key) ∧ rk .key .fs .type = void_type ∧ rk .key .fs .field = `initstate' .field → ((rk = r -- i ' ⊃ val; st[rk])) ≠ initval(undone) ∧ ((rk = r -- i ' ⊃ val; st[rk])) ≠ initval(error) ⊦ _uninit ∈ st, st[jvmref -- fs '] ≠ initval(undone) ∧ st[jvmref -- fs '] ≠ initval(error)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 5:
fs = mkfs(class, ty, fieldvar), ty = void_type, fieldvar = `initstate' .field, jvmref -- fs ' ∈ st, jvmref ∈ st, ∀ rk. (rk = r -- i ' ∨ rk ∈ st) ∧ rk .ref = jvmref ∧ ¬ is_indexkey(rk .key) ∧ rk .key .fs .type = void_type ∧ rk .key .fs .field = `initstate' .field → ((rk = r -- i ' ⊃ val; st[rk])) ≠ initval(undone) ∧ ((rk = r -- i ' ⊃ val; st[rk])) ≠ initval(error) ⊦ _uninit ∈ st, st[jvmref -- fs '] ≠ initval(undone) ∧ st[jvmref -- fs '] ≠ initval(error)

Rule argument

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

Additional information

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