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Theorem middle-coef-largest-01

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

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: middle-coef-largest, middle-coef-not-one-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 10
Proof steps: 17
Used lemmas: fac-not-neg, fac-ls-zero, fac-pos-01, fac-le-zero, coef-sub,
Used spec theorems:
Used simplifier rules: