Theorems · Theorem · combinatorics
Nat.choose_le_centralBinom
∀ (r n : ℕ), (2 * n).choose r ≤ n.centralBinom
The central binomial coefficient is the largest binomial coefficient.
- Defined in
- Mathlib.Data.Nat.Choose.Central
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.choosestatement and proof · cited by 494
- zero_lt_twoproof · cited by 124
- Nat.centralBinomstatement · cited by 24
- Nat.choose_le_middleproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Nat.two_le_centralBinomproof · cited by 0