Theorems · Theorem · commutative algebra
Ring.multichoose_zero_succ
∀ {R : Type u_2} [inst : NonAssocSemiring R] [inst_1 : Pow R ℕ] [NatPowAssoc R] [inst_3 : BinomialRing R] (k : ℕ),
Ring.multichoose 0 (k + 1) = 0- Defined in
- Mathlib.RingTheory.Binomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Polynomialproof · cited by 5,681
- Polynomial.Xproof · cited by 1,639
- MulZeroClass.zero_mulproof · cited by 1,625
- NonAssocSemiringstatement and proof · cited by 805
- smul_zeroproof · cited by 665
- Nat.factorialproof · cited by 616
- Polynomial.compproof · cited by 193
- ascPochhammerproof · cited by 80
- Polynomial.smevalproof · cited by 65
- Nat.factorial_ne_zeroproof · cited by 56
- NatPowAssocstatement and proof · cited by 53
- BinomialRingstatement and proof · cited by 46
Cited by1
Results whose statement or proof uses this declaration.
- Ring.multichoose_oneproof · cited by 1