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Proof step 6 from proof coef-product-le (previous step)

binom_coef(2 * j + 1, j) < Π ints, 0 < j, ∀ i. i ∈ ints → prime(i) ∧ j + 2 ≤ i ∧ i ≤ j * 2 + 1 ⊦ j0 ∈ ints → prime(j0) ∧ j0 | binom_coef(2 * j + 1, j), dups(ints)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
0 < j, binom_coef(2 * j + 1, j) < Π ints, j0 ∈ ints, ∀ i. i ∈ ints → prime(i) ∧ j + 2 ≤ i ∧ i ≤ j * 2 + 1 ⊦ dups(ints), prime(j0) ∧ j0 | binom_coef(2 * j + 1, j)

Proof step 6 from proof coef-product-le (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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