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Proof step 1 from proof coef-le-2pot (conclusion)

⊦ 0 < j → binom_coef(2 * j + 1, j) ≤ 2 ^ (2 * j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
2 ^ (2 * j) < binom_coef(2 * j + 1, j), 0 < j ⊦

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs