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Fungrim entry: 471485

(nn+m)=0{n \choose n + m} = 0
Assumptions:nZ0andmZ1n \in \mathbb{Z}_{\ge 0} \,\mathbin{\operatorname{and}}\, m \in \mathbb{Z}_{\ge 1}
TeX:
{n \choose n + m} = 0

n \in \mathbb{Z}_{\ge 0} \,\mathbin{\operatorname{and}}\, m \in \mathbb{Z}_{\ge 1}
Definitions:
Fungrim symbol Notation Short description
Binomial(nk){n \choose k} Binomial coefficient
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("471485"),
    Formula(Equal(Binomial(n, Add(n, m)), 0)),
    Variables(n, m),
    Assumptions(And(Element(n, ZZGreaterEqual(0)), Element(m, ZZGreaterEqual(1)))))

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2019-08-17 11:32:46.829430 UTC