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Proof step 2 from proof middle-coef-largest (previous step)

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

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ j < i ∧ 0 ≤ j → ¬ binom_coef(2 * i, i) < binom_coef(2 * i, j)
Proof step 4:
j < i ∧ 0 ≤ j → ¬ binom_coef(2 * i, i) < binom_coef(2 * i, j), 0 ≤ j, j ≤ 2 * i, binom_coef(2 * i, i) < binom_coef(2 * i, j), 0 ≤ i ⊦

Rule argument

spec: inst: name: middle-coef-largest-01 seq: ⊦ j < i ∧ 0 ≤ j → ¬ binom_coef(2 * i, i) < binom_coef(2 * i, j) subst: [j, i] → [j, i] flags: current, []

Additional information

Used terms: j, i