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Proof step 12 from proof map-indices-append (previous step)

m < # ar, nx0 < # ar, n < # ar, ∀ ar, n, f. nx0 < # ar ∧ n < # ar → ar.mapIndices(nx0 + n ', f) = ar.mapIndices(nx0, f)[n, f(ar[n])] ∨ n ∈ nx0 ⊦ ar[m, f(ar[m])].mapIndices(nx0 + n ', f) = ar[m, f(ar[m])].mapIndices(nx0, f)[n, f(ar[n])], m = n, n ∈ nx0

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 4 terms: ar[m, f(ar[m])], n, f

Additional information

Used simplifier rules: ⊦ # ar[n, a] = # ar; (s)% ⊦ m ≠ n → ar[n, a][m] = ar[m]; (s) Used terms: ar[m, f(ar[m])], n, f