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Proof step 7 from proof ac-mode (previous step)

sk .fs = mkfs(class1, ty, fieldvar), is_fskey(sk), ∀ class1, st. class1 = `java.lang.Object' .class ∨ (addclass(class1, fis0, st)[_mode]) = st[_mode] ⊦ (addclass(class1, (sk × val) ' + fis0, st)[_mode]) = st[_mode], class1 = `java.lang.Object' .class

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 6:
sk = fs ', fs = mkfs(class1, ty, fieldvar), is_fskey(sk), ∀ class1, st. class1 = `java.lang.Object' .class ∨ (addclass(class1, fis0, st)[_mode]) = st[_mode] ⊦ (addclass(class1, (sk × val) ' + fis0, st)[_mode]) = st[_mode], class1 = `java.lang.Object' .class

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)]]