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Proof step 4 from proof coef-gcd (previous step)

0 < j ∧ j ≤ i → i * binom_coef(i - 1, j - 1) = j * binom_coef(i, j), gcd(i, j) = 1, j ≤ i, 0 ≤ j, 0 ≤ i ⊦ i | binom_coef(i, j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information