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Proof step 10 from proof coef-eq-zero (previous step)

fac(i) / (fac(i - j) * fac(j)) = 0, 0 ≤ i, 0 ≤ j, j ≤ i ⊦ fac(i - j) * fac(j) | fac(i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ i ≤ j ∧ 0 ≤ i → fac(j - i) * fac(i) | fac(j)

Rule argument

spec: inst: name: fac-divides seq: ⊦ i ≤ j ∧ 0 ≤ i → fac(j - i) * fac(i) | fac(j) subst: [i, j] → [j, i] flags: rewrite, current

Additional information

Used simplifier rules: zero-gels-04: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; from specification int-abs Used terms: j, i