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Proof step 10 from proof validstatfields-put-statfield-03 (previous step)

validstatfields(str, sks, st), ¬ mkfs(class, ty, fieldvar) ' ∈ statfields(class) ∨ ¬ tdname∃(str, class), ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ⊦ validstatfields(str, sks, st[jvmref -- mkfs(class, ty, fieldvar) ', val])

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))
Proof step 9:
¬ ( ¬ mkfs(class, ty, fieldvar) ' ∈ sks ∧ ( ¬ is_fskey(mkfs(class, ty, fieldvar) ') ∨ mkfs(class, ty, fieldvar) ' .fs .type ≠ void_type ∨ mkfs(class, ty, fieldvar) ' .fs .field ≠ `initstate' .field ∧ mkfs(class, ty, fieldvar) ' .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field))), validstatfields(str, sks, st), ¬ mkfs(class, ty, fieldvar) ' ∈ statfields(class) ∨ ¬ tdname∃(str, class), ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ⊦ validstatfields(str, sks, st[jvmref -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[crewrite-arg: validstatfields-put-statfield-01 , F , [val, sk, st, sks, str] → [val, mkfs(class, ty, fieldvar) ', st, sks, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, mkfs(class, ty, fieldvar) ', st, sks, str)]]