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Proof step 10 from proof append-assoc (previous step)

⊦ (⌜x⌝ + ⌜x0⌝ ) + ⌜nf⌝ = ⌜x⌝ + ⌜λ n. (n < # x0 ⊃ x0[n];nf(n - # x0))⌝

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information