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Proof step 5 from proof validstatfields-put-statfield-04 (previous step)

validstatfields(str, sks, st[jvmref -- sk0, val]), is_indexkey(sk0) ∨ sk0 .fs .type ≠ void_type ∨ sk0 .fs .field ≠ `initstate' .field ∧ sk0 .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ⊦ sk = sk0, validstatfield(str, sk, st[jvmref -- sk0, val]) ↔ validstatfield(str, sk, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
sk0 .fs = mkfs(class, ty, fieldvar), validstatfields(str, sks, st[jvmref -- sk0, val]), is_indexkey(sk0) ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ sk0 .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ⊦ sk = sk0, validstatfield(str, sk, st[jvmref -- sk0, val]) ↔ validstatfield(str, sk, st)

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [sk0 .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 : (sk0 .fs, class, ty, fieldvar)]]