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Proof step 10 from proof initsubset-addclass (previous step)

fis .keys = statfields(sk .fs .class), is_fskey(sk), validstatfield(str, sk, st), sk ∈ statfields(class0), tdname∃(str, class0), initdone(class0, st), validfieldinits(str, fis, st), initundone(sk .fs .class, st) ⊦ sk .fs .class = `java.lang.Object' .class, validstatfield(str, sk, addclass(sk .fs .class, fis, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 9:
sk = fs ', fis .keys = statfields(fs .class), is_fskey(sk), validstatfield(str, sk, st), sk ∈ statfields(class0), tdname∃(str, class0), initdone(class0, st), validfieldinits(str, fis, st), initundone(fs .class, st) ⊦ fs .class = `java.lang.Object' .class, validstatfield(str, sk, addclass(fs .class, fis, 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)]]