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Proof step 4 from proof coef-rec-add-01 (previous step)

0 ≤ j ∧ j ≤ i, j ≤ i, 0 < j, 0 < i ⊦ fac(i) / (fac(i - j) * fac(j)) = binom_coef(i - 1, j - 1) + binom_coef(i - 1, j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
j ≤ i, 0 < j, 0 < i, 0 ≤ j, 0 ≤ i ⊦ fac(i) / (fac(i - j) * fac(j)) = binom_coef(i - 1, j - 1) + binom_coef(i - 1, j)

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs