Theorems · Theorem · commutative algebra
Ring.multichoose_neg_of_lt
∀ (n k : ℕ), n < k → Ring.multichoose (-↑n) k = 0
- Defined in
- Mathlib.RingTheory.Binomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- smul_zeroproof · cited by 665
- Nat.factorialproof · cited by 616
- Nat.factorial_ne_zeroproof · cited by 56
- Ring.multichoosestatement · cited by 25
- nsmul_right_injproof · cited by 21
- Ring.factorial_nsmul_multichoose_eq_ascPochhammerproof · cited by 12
- Ring.smeval_ascPochhammer_neg_of_ltproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.