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Proof step 2 from proof eq1 (previous step)

0 < m ⊦ (n + m) / m * m > n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
(n + m) / m * m ≤ n ⊦ m = 0

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m > n ↔ n < m; (s)% ⊦ 0 < m ↔ m ≠ 0; (s)