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Proof step 11 from proof validstatfields-put-statfield-02 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validstatfields(str, sks, st) ↔ (∀ sk. sk ∈ sks → validstatfield(str, sk, st))
Proof step 10:
sk .fs = mkfs(class, ty, fieldvar), validstatfield(str, sk, st[jvmref -- sk, val]), validstatfields(str, sks, st), is_fskey(sk), fieldvar ≠ `initstate' .field ∧ sk .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ∨ ty ≠ void_type ⊦ ∀ sk0. sk0 ∈ sks → validstatfield(str, sk0, st[jvmref -- sk, val])

Rule argument

[crewrite-arg: validstatfields-storekeys-def , F , [st, sks, str] → [st[jvmref -- sk, val], sks, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[jvmref -- sk, val], sks, str)]]