Theorems · Definition · commutative algebra
BinomialRing.multichoose
{R : Type u_1} → {inst : AddCommMonoid R} → {inst_1 : Pow R ℕ} → [self : BinomialRing R] → R → ℕ → RA multichoose function, giving the quotient of Pochhammer evaluations by factorials.
- Defined in
- Mathlib.RingTheory.Binomial
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- BinomialRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- BinomialRingstatement and proof · cited by 46
Cited by3
Results whose statement or proof uses this declaration.
- Ring.multichooseproof · cited by 25
- BinomialRing.factorial_nsmul_multichoosestatement · cited by 1
- Ring.multichoose_eq_multichoosestatement · cited by 0