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Proof step 9 from proof okfieldinits-at (previous step)

is_fskey(sk), okfieldinits(sk .fs .class, fis0), mkfs(class, ty, fieldvar) ' ∈ fis0, ∀ class, ty, fieldvar, class0. mkfs(class, ty, fieldvar) ' ∈ fis0 ∧ okfieldinits(class0, fis0) → fis0[mkfs(class, ty, fieldvar) '] = initial_value(ty) ⊦ ((sk × initial_value(sk .fs .type)) ' + fis0)[mkfs(class, ty, fieldvar) '] = initial_value(ty), sk .fs .type = abstract_type

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
sk = fs ', is_fskey(sk), okfieldinits(fs .class, fis0), mkfs(class, ty, fieldvar) ' ∈ fis0, ∀ class, ty, fieldvar, class0. mkfs(class, ty, fieldvar) ' ∈ fis0 ∧ okfieldinits(class0, fis0) → fis0[mkfs(class, ty, fieldvar) '] = initial_value(ty) ⊦ ((sk × initial_value(fs .type)) ' + fis0)[mkfs(class, ty, fieldvar) '] = initial_value(ty), fs .type = abstract_type

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)]]