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Fungrim entry: bb8a75

n!≤nnn ! \le {n}^{n}
Assumptions:n∈Z≥0n \in \mathbb{Z}_{\ge 0}
TeX:
n ! \le {n}^{n}

n \in \mathbb{Z}_{\ge 0}
Definitions:
Fungrim symbol Notation Short description
Factorialn!n ! Factorial
Powab{a}^{b} Power
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("bb8a75"),
    Formula(LessEqual(Factorial(n), Pow(n, 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.

2019-06-18 07:49:59.356594 UTC