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Proof step 31 from proof validstatfields-addclass-other (previous step)

sk ∈ statfields(class0), is_fskey(sk), ∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, st) ⊦ sk .fs .class = class, class = `java.lang.Object' .class, class = class0, validstatfield(str, sk, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 30:
sk = fs ', sk ∈ statfields(class0), is_fskey(sk), ∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, st) ⊦ fs .class = class, class = `java.lang.Object' .class, class = class0, validstatfield(str, sk, st)

Rule argument

[speclemmaarg: ,is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') ,[sk, fs] → [sk, fs] ,T ,storekey , ,elim-03 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk, fs)]]