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Proof step 9 from proof is-aligned-is-aligned-mod (previous step)

n0 % n = 0, m0 * n0 + n2 = m2 * n + n1, n1 = 0, n2 < n, m1 * n + n2 < n0, n1 < n ⊦ n = 0, n2 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
n0 % n = 0, m0 * n0 + n2 = m2 * n, m1 * n + n2 < n0, n2 < n ⊦ n2 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ 0 < m ↔ m ≠ 0; (s)% ⊦ m < n → n ≠ 0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)