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Proof step 9 from proof validstatfields-put-statfield-02 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ sk ≠ sk0 ∧ ( ¬ is_fskey(sk) ∨ sk .fs .type ≠ void_type ∨ sk .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ∧ (¬ is_fskey(sk0) ∨ sk .fs ≠ mkfs(sk0 .fs .class, void_type, `initstate' .field))) → (validstatfield(str, sk0, st[jvmref -- sk, val]) ↔ validstatfield(str, sk0, st))
Proof step 8:
sk ≠ sk0 ∧ ( ¬ is_fskey(sk) ∨ sk .fs .type ≠ void_type ∨ sk .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ∧ (¬ is_fskey(sk0) ∨ sk .fs ≠ mkfs(sk0 .fs .class, void_type, `initstate' .field))), sk .fs = mkfs(class, ty, fieldvar), is_fskey(sk), validstatfields(str, sks, st), validstatfield(str, sk, st[jvmref -- sk, val]), sk0 ∈ sks, fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ∨ ty ≠ void_type ⊦ validstatfield(str, sk0, st)

Rule argument

[crewrite-arg: validstatfield-put-statfield , F , [val, sk, st, sk0, str] → [val, sk, st, sk0, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0])], [EXTRATERMS : (val, sk, st, sk0, str)]]