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Fungrim entry: 471485

(nn+m)=0{n \choose n + m} = 0
Assumptions:n∈Z≥0  and⁡  m∈Z≥1n \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
ZZGreaterEqualZ≥n\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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2021-03-15 19:12:00.328586 UTC