Theorems · Theorem · commutative algebra
Ring.multichoose_eq
∀ {R : Type u_1} [inst : NonAssocRing R] [inst_1 : Pow R ℕ] [inst_2 : BinomialRing R] (r : R) (n : ℕ),
Ring.multichoose r n = Ring.choose (r + ↑n - 1) n- Defined in
- Mathlib.RingTheory.Binomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext
- Assumes
- NonAssocRingPowBinomialRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidproof · cited by 12,281
- NonAssocRingstatement and proof · cited by 483
- BinomialRingstatement and proof · cited by 46
- Ring.choosestatement · cited by 43
- Ring.multichoosestatement and proof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- Ring.choose_neg'proof · cited by 0