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Proof step 1 from proof middle-coef-max_exp (conclusion)

i | binom_coef(2 * j, j), prime(i), 0 < j ⊦ i ^ max_exp(i, binom_coef(2 * j, j)) ≤ 2 * j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i | binom_coef(2 * j, j), prime(i), 2 * j < i ^ max_exp(i, binom_coef(2 * j, 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