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Proof step 18 from proof is-aligned-still-space (previous step)

n * n1 < (n2 * n1) % (n * n1) + n1 ⊦ (n2 * n1) % (n * n1) = 0, n = 0, n1 = 0, n2 = n2 / n * n + n2 % n ∧ n2 % n < n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
n * n1 < (n2 * n1) % (n * n1) + n1 ⊦ (n2 * n1) % (n * n1) = 0, n = 0, n1 = 0, n2 = n2 / n * n + n2 % n

Rule argument

Additional information

Used simplifier rules: n ≠ 0 ⊦ m % n < n; (s)