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Proof step 1 from proof align-down-add-ls (conclusion)

m ≠ 0 ⊦ align↓(n0 + n1, m) < n0 ↔ n0 % m + n1 < m ∧ n0 % m ≠ 0

System applied rule normalize

And obtained the following new goals

Proof step 2:
⊦ align↓(n0 + n1, m) < n0 ↔ n0 % m + n1 < m ∧ n0 % m ≠ 0, m = 0

Rule argument

Additional information