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Proof step 18 from proof coef-fac-divides-h (previous step)

0 < j, fac(j - 1) * fac(i - j) | fac(i - 1), (j * fac(j - 1)) * fac(i - 1 + j) | fac(i - 1), 0 < j, j < i, 0 ≤ j, 1 < i, 0 < i ⊦ (j * fac(j - 1)) * fac(i - j) | j * fac(i - 1), (j * fac(j - 1)) * fac(i - j) | fac(i)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs%forward-pos: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward) from specification int-basic1%forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs