Theorems · Theorem · combinatorics
Nat.choose_middle_le_pow
∀ (n : ℕ), (2 * n + 1).choose n ≤ 4 ^ n
- Defined in
- Mathlib.Data.Nat.Choose.Sum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.sumproof · cited by 5,195
- Finset.rangeproof · cited by 1,341
- Nat.choosestatement and proof · cited by 494
- Finset.single_le_sumproof · cited by 34
- Finset.self_mem_range_succproof · cited by 4
- Nat.sum_range_choose_halfwayproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- primorial_lt_four_powproof · cited by 1