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Proof step 41 from proof validstatfields-put-statfield-06 (previous step)

sk .fs = mkfs(class0, void_type, `initstate' .field), is_fskey(sk) ⊦ class0 = class, validstatfields(str, statfields(class), st[jvmref -- sk, val]) ↔ validstatfields(str, statfields(class), st), sk ∈ statfields(class)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 40:
sk = fs ', fs = mkfs(class0, void_type, `initstate' .field), is_fskey(sk) ⊦ class0 = class, validstatfields(str, statfields(class), st[jvmref -- sk, val]) ↔ validstatfields(str, statfields(class), st), sk ∈ statfields(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)]]