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Proof step 1 from proof mod-mod (conclusion)

⊦ m % n = 0 ∧ n % n0 = 0 ∧ n ≠ 0 ∧ n0 ≠ 0 → m % n0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
m % n = 0, n % n0 = 0 ⊦ m % n0 = 0, n0 = 0, n = 0

Rule argument

Additional information