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Proof step 1 from proof aligndown-sub-add-sub (conclusion)

n ≠ 0 ⊦ n1 ≤ n0 → n0 - n1 + align↓(n0 - n1, n) = (n0 - n1) % n

System applied rule normalize

And obtained the following new goals

Proof step 2:
n1 ≤ n0 ⊦ n0 - n1 + align↓(n0 - n1, n) = (n0 - n1) % n, n = 0

Rule argument

Additional information