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Proof step 15 from proof validref-ac (previous step)

sk .fs = mkfs(class, ty0, fieldvar), is_fskey(sk), ∀ str, r, ty, class, st. validref(str, r, ty, addclass(class, fis0, st)) ↔ validref(str, r, ty, st) ⊦ validref(str, r, ty, addclass(class, (sk × val) ' + fis0, st)) ↔ validref(str, r, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 14:
sk = fs ', fs = mkfs(class, ty0, fieldvar), is_fskey(sk), ∀ str, r, ty, class, st. validref(str, r, ty, addclass(class, fis0, st)) ↔ validref(str, r, ty, st) ⊦ validref(str, r, ty, addclass(class, (sk × val) ' + fis0, st)) ↔ validref(str, r, ty, 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)]]