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Proof step 2 from proof append-at (previous step)

n < # ar0 + # ar1 ⊦ (ar0 + ar1)[n] = (n < # ar0 ⊃ ar0[n];ar1[n - # ar0])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
n < # ar0 + # ar1 ⊦ (ar0 + ar1)[n] = (n < # ar0 ⊃ ar0[n];ar1[n - # ar0])

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic