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Proof step 1 from proof one-02 (conclusion)

⊦ m0 ≠ 1 → (m0 * m = m ↔ m = 0)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: zero-03: ⊦ m * n = m ↔ m = 0 ∨ n = 1;%mult-a: ⊦ m0 * m * n = (m0 * m) * n;%mult-c: ⊦ m * n = n * m;%zero: ⊦ 0 * n = 0;