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Proof step 23 from proof coef-mult-rec (previous step)

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

User applied rule insert equation

And obtained the following new goals

Proof step 24:
fac(i - 1 - (j - 1)) * j * fac(j - 1) | fac(i), 0 < i, 0 < j, j ≤ i, 0 ≤ j, 0 ≤ i ⊦ i * fac(i - 1) / (fac(i - 1 - (j - 1)) * fac(j - 1)) = fac(i) / (fac(i - 1 - (j - 1)) * fac(j - 1)), fac(j - 1) * fac(i - 1 - (j - 1)) | fac(i - 1)

Rule argument

pos: left 1 flags: discard

Proof step 23 from proof coef-mult-rec (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information