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Fungrim entry: f171a6

W0 ⁣(x)1x+1W'_{0}\!\left(x\right) \le \frac{1}{x + 1}
Assumptions:x[0,)x \in \left[0, \infty\right)
TeX:
W'_{0}\!\left(x\right) \le \frac{1}{x + 1}

x \in \left[0, \infty\right)
Definitions:
Fungrim symbol Notation Short description
LambertWWk ⁣(z)W_{k}\!\left(z\right) Lambert W-function
ClosedOpenInterval[a,b)\left[a, b\right) Closed-open interval
Infinity\infty Positive infinity
Source code for this entry:
Entry(ID("f171a6"),
    Formula(LessEqual(LambertW(0, x, 1), Div(1, Add(x, 1)))),
    Variables(x),
    Assumptions(Element(x, ClosedOpenInterval(0, Infinity))))

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2019-06-18 07:49:59.356594 UTC