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Proof step 1 from proof mult-ineq-lt (conclusion)

⊦ n0 ≠ 0 → (n < m ↔ n * n0 < m * n0)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ls-02: ⊦ m0 ≠ 0 → (m0 * m < m0 * n ↔ m < n);%mult-a: ⊦ m0 * m * n = (m0 * m) * n;%mult-c: ⊦ m * n = n * m;