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Proof step 5 from proof is-aligned-mod-alignment (previous step)

n % (n0 * m) = m0 * m + n1, n1 < m ⊦ n1 = 0 ↔ n % m = 0, m = 0, n0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
n % (n0 * m) = m0 * m + n1, n1 < m ⊦ n1 = 0 ↔ n % m = 0, n0 = 0

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m < n → n ≠ 0; (s)