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Proof step 4 from proof middle-coef-divides-not (previous step)

0 ≤ i ∧ i ≤ 2 * i, j | fac(2 * i) / (fac(2 * i - i) * fac(i)), 2 * i < j, prime(j), 0 < 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%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%le-same-01: ⊦ 0 < i → (i ≤ i * j ↔ 1 ≤ j); from specification int-mult