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Proof step 8 from proof aligndown-is-zero (previous step)

m / n = 0, ∃ n0. n + n0 = m ⊦ m % n = 0, n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
(n + n0) / n = 0 ⊦ n0 % n = 0, n = 0

Rule argument

Additional information

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