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Proof step 2 from proof get-numrec (previous step)

n ≠ 0 ⊦ (a ' + x)[n] = x[n -1]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ n = 0, (a ' + x)[n] = x[n - 1]

Rule argument

Additional information

Used simplifier rules: pred-03: ⊦ n -1 = n - 1; from specification nat