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Proof step 4 from proof coef-one (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
0 < i ⊦ fac(i) / fac(i - 1) = i

Rule argument

Additional information

Used simplifier rules: fac-one: ⊦ fac(1) = 1;%leone: ⊦ 1 ≤ i ↔ 0 < i; from specification int-abs%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%one: ⊦ 1 * i = i; from specification int-mult