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Proof step 1 from proof get-append-grt (conclusion)

⊦ ¬ n < # x → (x + y)[n] = y[n - # x]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
# x ≤ n ⊦ (x + y)[n] = y[n - # x]

Rule argument

Additional information

Used simplifier rules: lels: ⊦ ¬ m < n ↔ n ≤ m; from specification nat