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Proof step 13 from proof ac-in-08 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
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)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)])]]