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Proof step 45 from proof validstatfields-put-statfield-06 (previous step)

is_indexkey(sk) ∨ sk .fs .type ≠ void_type ∨ sk .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ∧ sk .fs ≠ mkfs(class, void_type, `initstate' .field) ⊦ validstatfields(str, statfields(class), st[jvmref -- sk, val]) ↔ validstatfields(str, statfields(class), st), sk ∈ statfields(class)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 44:
sk .fs = mkfs(class0, ty, fieldvar), is_indexkey(sk) ∨ ty ≠ void_type ∨ sk .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ∧ sk .fs ≠ mkfs(class, void_type, `initstate' .field) ⊦ validstatfields(str, statfields(class), st[jvmref -- sk, val]) ↔ validstatfields(str, statfields(class), st), sk ∈ statfields(class)

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)]]