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Proof step 1 from proof middle-coef-largest-01 (conclusion)

⊦ j < i ∧ 0 ≤ j → ¬ binom_coef(2 * i, i) < binom_coef(2 * i, j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
binom_coef(2 * i, i) < binom_coef(2 * i, j), j < i, 0 ≤ j, 0 < i ⊦

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs%forward-lels: ⊦ i ≤ j ∧ j < j0 → i < j0; (forward) from specification int-abs