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Proof step 1 from proof mod-add (conclusion)

⊦ m0 % n = 0 ∧ 0 ≠ n → (m + m0) % n = m % n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
m0 % n = 0 ⊦ (m + m0) % n = m % n, 0 = n

Rule argument

Additional information