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Proof step 2 from proof get-add-num (previous step)

n ≠ 0 ⊦ (a ' + x)[m + n] = x[m + (n - 1)]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information