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Proof step 7 from proof mod-mult (previous step)

∀ m, n. (m + n1 * n) % n = m % n ∨ n = 0 ⊦ n = 0, (m + n * n1) % n = m % n

Heuristic quantifier closing applied rule all left

And obtained the following new goals

Proof step 8:
(n + n1 * m) % m = n % m ∨ m = 0, ∀ m, n. (m + n1 * n) % n = m % n ∨ n = 0 ⊦ n = 0, (m + n * n1) % n = m % n

Rule argument

pos: left 1 terms: n, m

Additional information

Used terms: n, m