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Proof step 31 from proof ac-dups-02 (previous step)

is_indexkey(sk0), ∀ class1, sk, val, val0, fis1, st. addclass(class1, fis0 + (sk × val) ' + (sk × val0) ' + fis1, st) = addclass(class1, fis0 + (sk × val) ' + fis1, st) ⊦ addclass(class1, fis0 + (sk × val) ' + (sk × val0) ' + fis1, st) = addclass(class1, fis0 + (sk × val) ' + fis1, st)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 2, [QUANTTERMLIST : (class1, sk, val, val0, fis1, st)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1])], [EXTRATERMS : (class1, sk, val, val0, fis1, st)]]