Theorems · Theorem · number theory
Nat.factorization_choose_of_lt_three_mul
∀ {p n k : ℕ}, p ≠ 2 → p ≤ k → p ≤ n - k → n < 3 * p → (n.choose k).factorization p = 0- Defined in
- Mathlib.Data.Nat.Choose.Factorization
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsuppstatement · cited by 5,255
- LT.lt.leproof · cited by 2,189
- le_reflproof · cited by 2,061
- Nat.Primeproof · cited by 2,059
- pow_oneproof · cited by 894
- Nat.choosestatement and proof · cited by 494
- lt_of_le_of_ltproof · cited by 432
- sqproof · cited by 280
- mul_le_mul'proof · cited by 274
- two_mulproof · cited by 232
- lt_of_le_of_neproof · cited by 230
Cited by1
Results whose statement or proof uses this declaration.
- Nat.factorization_centralBinom_of_two_mul_self_lt_three_mulproof · cited by 1