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Fungrim entry: 55bf43

n!=k=1nkn ! = \prod_{k=1}^{n} k
Assumptions:nZ0n \in \mathbb{Z}_{\ge 0}
TeX:
n \in \mathbb{Z}_{\ge 0}
Definitions:
Fungrim symbol Notation Short description
Factorialn!n ! Factorial
Productnf(n)\prod_{n} f(n) Product
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("55bf43"),
    Equal(Factorial(n), Product(k, For(k, 1, n))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(0))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-10-05 13:11:19.856591 UTC