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Proof step 3 from proof middle-coef-not-one-01 (previous step)

binom_coef(2 * i, i) < 2, 0 < i ⊦ i = 1

User applied rule insert lemma

And obtained the following new goals

Proof step 4:
⊦ j < i ∧ 0 ≤ j → ¬ binom_coef(2 * i, i) < binom_coef(2 * i, j)
Proof step 5:
1 < i ∧ 0 ≤ 1 → ¬ binom_coef(2 * i, i) < binom_coef(2 * i, 1), binom_coef(2 * i, i) < 2, 0 < i ⊦ i = 1

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] → [1, i] flags: current, []

Additional information

Used terms: 1, i