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Proof step 2 from proof validstatfields-put-statfield (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ ¬ sk ∈ sks ∧ ( ¬ is_fskey(sk) ∨ sk .fs .type ≠ void_type ∨ sk .fs .field ≠ `initstate' .field ∧ sk .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field)) → (validstatfields(str, sks, st[jvmref -- sk, val]) ↔ validstatfields(str, sks, st))

Rule argument

[crewrite-arg: validstatfields-put-statfield-01 , F , [val, sk, st, sks, str] → [val, sk, st, sks, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ is_fskey(sk)], [CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ mkfs(class1, ty, fieldvar) = mkfs(class2, ty0, fieldvar0) ↔ ¬ ¬ ( class1 = class2 ∧ ty = ty0 ∧ fieldvar = fieldvar0)], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .field = fieldvar], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0])], [EXTRATERMS : (val, sk, st, sks, str)]]