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Proof step 2 from proof middle-coef-largest-01 (previous step)

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

User applied rule induction

And obtained the following new goals

Proof step 3:
binom_coef(2 * i, i) < binom_coef(2 * i, j) ∧ j < i ∧ 0 ≤ j ∧ 0 < i, ∀ i0, j0. i→n(i0 - j0) < i→n(i - j) → binom_coef(2 * i0, i0) < binom_coef(2 * i0, j0) ∧ j0 < i0 ∧ 0 ≤ j0 ∧ 0 < i0 → false ⊦ false

Rule argument

indvar: i→n(i - j) wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: i→n(i - j)