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Proof step 8 from proof validstatfields-put-statfield-01 (previous step)

sk .fs = mkfs(class, ty, fieldvar), ∀ sk1, class0, ty0, fieldvar0, str0, st0, val0. sk1 .fs = mkfs(class0, ty0, fieldvar0) ∧ (¬ is_fskey(sk1) ∨ ty0 ≠ void_type ∨ fieldvar0 ≠ `initstate' .field ∧ sk1 .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field)) → (validstatfields(str0, sks0, st0[jvmref -- sk1, val0]) ↔ validstatfields(str0, sks0, st0)) ∨ sk1 ∈ sks0, is_indexkey(sk) ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ⊦ sk = sk0, validstatfield(str, sk0, st[jvmref -- sk, val]) ∧ validstatfields(str, sks0, st[jvmref -- sk, val]) ↔ validstatfields(str, sk0 ' + sks0, st), sk ∈ sks0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[crewrite-arg: validstatfields-rec , F , [st, sks, sk, str] → [st, sks0, sk0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, sks0, sk0, str)]]