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Proof step 1 from proof map-indices-append (conclusion)

⊦ ¬ n ∈ nx ∧ valid-indices(ar, nx) ∧ n < # ar → ar.mapIndices(nx + n ', f) = ar.mapIndices(nx, f)[n, f(ar[n])]

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information