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Proof step 36 from proof validstatfields-addclass-other (previous step)

⊦ class = class0, class = `java.lang.Object' .class, validstatfields(str, statfields(class0), addclass(class, fis, st)) ↔ (∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, st))

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 35:
⊦ class = class0, class = `java.lang.Object' .class, (∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, addclass(class, fis, st))) ↔ (∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, st))

Rule argument

[crewrite-arg: validstatfields-storekeys-def , F , [st, sks, str] → [addclass(class, fis, st), statfields(class0), str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addclass(class, fis, st), statfields(class0), str)]]