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Proof step 25 from proof validstatfields-put-statfield-06 (previous step)

initdone(class, st), sk ∈ statfields(class), is_fskey(sk), ∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st) ⊦ class0 = class, mkfs(class0, void_type, `initstate' .field) ' = sk, class0 = sk .fs .class, validstatfield(str, sk, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 24:
sk = fs ', initdone(class, st), sk ∈ statfields(class), is_fskey(sk), ∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st) ⊦ class0 = class, mkfs(class0, void_type, `initstate' .field) ' = sk, class0 = fs .class, 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)]]