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Proof step 12 from proof coef-product-le (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ binom_coef(i, j) = 0 ↔ j < 0 ∨ i < j
Proof step 14:
j < 0 ∨ 2 * j + 1 < j, 0 < Π ints, 0 < j, ∀ i. i ∈ ints → prime(i) ∧ j + 2 ≤ i ∧ i ≤ j * 2 + 1 ⊦ dups(ints)

Rule argument

spec: inst: name: coef-eq-zero seq: ⊦ binom_coef(i, j) = 0 ↔ j < 0 ∨ i < j subst: [j, i] → [j, 2 * j + 1] flags: rewrite, current

Additional information

Used terms: j, 2 * j + 1