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Proof step 31 from proof validstatfields-put-statfield-06 (previous step)

initdone(class, st) ⊦ validstatfields(str, statfields(class), st[jvmref -- mkfs(class0, void_type, `initstate' .field) ', val]) ↔ validstatfields(str, statfields(class), st), class0 = class

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ validstatfields(str, sks, st) ↔ (∀ sk. sk ∈ sks → validstatfield(str, sk, st))
Proof step 30:
initdone(class, st) ⊦ (∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st[jvmref -- mkfs(class0, void_type, `initstate' .field) ', val])) ↔ validstatfields(str, statfields(class), st), class0 = class

Rule argument

[crewrite-arg: validstatfields-storekeys-def , F , [st, sks, str] → [st[jvmref -- mkfs(class0, void_type, `initstate' .field) ', val], statfields(class), str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[ jvmref -- mkfs(class0, void_type, `initstate' .field) ', val], statfields(class), str)]]