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Theorem bertrand-big-primes

⊦ (2 * i) / 3 < j ∧ j ≤ i ∧ prime(j) ∧ 2 < i → ¬ j | binom_coef(2 * i, i)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: bertrand-middle-coef-smaller,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: middle-coef-not-one-01, max_exp-def, middle-coef-max_exp-big-primes,
Used spec theorems:
- Used simplifier rules: