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Proof step 1 from proof no-dups-update-key (conclusion)

⊦ no-dups-idx(kar, m) ∧ kar[m1] = key-index(key0, m0) → no-dups-idx(kar[m1, key-index(key, m0)], m)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information