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Proof step 19 from proof validstatfields-put-statfield-06 (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
sk = fs ', is_fskey(sk), sk ∈ statfields(class), initdone(class, st), ∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st) ⊦ mkfs(fs .class, void_type, `initstate' .field) ' = sk, fs .class = class, validstatfield(str, sk, st[jvmref -- mkfs(fs .class, void_type, `initstate' .field) ', val])

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)]]