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sylvester_schur
Specification
Sylvester and Schur: for $1 \le i \le n/2$ there is a prime $p > i$ dividing `n.choose i`.
Lean 4 Statement
theorem sylvester_schur (n i : ℕ) (hi : 1 ≤ i) (hi_half : i ≤ n / 2) :
∃ p : ℕ, p.Prime ∧ i < p ∧ p ∣ Nat.choose n i
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