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Proof step 2 from proof div-eq-zero (previous step)

⊦ n0 / m0 = 0 ↔ n0 < m0, m0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
n0 / m0 = 0, m0 ≤ n0 ⊦ m0 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → m / n = 0; (s)