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Proof step 12 from proof ac-in-08 (previous step)

r ∈ st, ∀ r, st, class1. r ∈ st → r ∈ addclass(class1, fis0, st) ⊦ r ∈ addclass(class1, (sk × val) ' + fis0, st), sk .fs .class ≠ class1 ∧ ¬ is_indexkey(sk)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
sk .fs = mkfs(class, ty, fieldvar), r ∈ st, ∀ r, st, class1. r ∈ st → r ∈ addclass(class1, fis0, st) ⊦ r ∈ addclass(class1, (sk × val) ' + fis0, st), class ≠ class1 ∧ ¬ is_indexkey(sk)

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [sk .fs, class, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (sk .fs, class, ty, fieldvar)]]