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Proof step 1 from proof div-eq-zero (conclusion)

m0 ≠ 0 ⊦ n0 / m0 = 0 ↔ n0 < m0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
n0 / m0 = 0, m0 ≤ n0 ⊦ m0 = 0

Rule argument

Additional information

Used simplifier rules: lels: ⊦ ¬ m < n ↔ n ≤ m; from specification nat%zero-01: ⊦ m < n → m / n = 0; from specification nat-div