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Proof step 17 from proof add-update-same (previous step)

¬ ¬ sk ∈ fis, ∀ r, fis, class, st. update(r, fis, addobj(r, class, fis1, st)) = addobj(r, class, fis + fis1, st) ⊦ update(r, fis, addobj(r, class, fis1, st)[r -- sk, val]) = addobj(r, class, fis + (sk × val) ' + fis1, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
sk ∈ fis, ∀ r, fis, class, st. update(r, fis, addobj(r, class, fis1, st)) = addobj(r, class, fis + fis1, st) ⊦ update(r, fis, addobj(r, class, fis1, st)) = addobj(r, class, fis + (sk × val) ' + fis1, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ∈ fis → update (r, fis, st[r -- sk, val]) = update(r, fis, st)])]]