Theorems · Theorem · commutative algebra
Ring.multichoose_neg_self
∀ (n : ℕ), Ring.multichoose (-↑n) n = (-1) ^ n
- Defined in
- Mathlib.RingTheory.Binomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.factorialproof · cited by 616
- nsmul_eq_mulproof · cited by 369
- Nat.factorial_ne_zeroproof · cited by 56
- Ring.multichoosestatement · cited by 25
- nsmul_right_injproof · cited by 21
- Nat.cast_commproof · cited by 16
- Ring.factorial_nsmul_multichoose_eq_ascPochhammerproof · cited by 12
- Ring.smeval_ascPochhammer_self_negproof · cited by 1
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