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Proof step 36 from proof ac-init (previous step)

is_fskey(sk), ∀ class1, st. mkfs(class1, void_type, `initstate' .field) ' ∈ fis0 ∨ initdone(class1, addclass(class1, fis0, st)) ⊦ mkfs(class1, void_type, `initstate' .field) ' = sk, sk .fs .class = class1, initdone(class1, addclass(class1, fis0, st)), mkfs(class1, void_type, `initstate' .field) ' ∈ fis0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 35:
sk = fs ', is_fskey(sk), ∀ class1, st. mkfs(class1, void_type, `initstate' .field) ' ∈ fis0 ∨ initdone(class1, addclass(class1, fis0, st)) ⊦ mkfs(class1, void_type, `initstate' .field) ' = sk, fs .class = class1, initdone(class1, addclass(class1, fis0, st)), mkfs(class1, void_type, `initstate' .field) ' ∈ fis0

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)]]