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Proof step 1 from proof coef-rec (conclusion)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
j ≤ i, 0 < j, 0 < i ⊦ binom_coef(i, j) = (binom_coef(i - 1, j - 1) * i) / j

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%forward-lsle: ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) from specification int-abs