PolyLog[\[Nu], x] >= 0 /; Element[\[Nu], Reals] && 0 <= x <= 1

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", "x"]], "]"]], "\[GreaterEqual]", "0"]], "/;", RowBox[List[RowBox[List["\[Nu]", "\[Element]", "Reals"]], "\[And]", RowBox[List["0", "\[LessEqual]", "x", "\[LessEqual]", "1"]]]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <msub> <semantics> <mi> Li </mi> <annotation-xml encoding='MathML-Content'> <ci> PolyLog </ci> </annotation-xml> </semantics> <mi> &#957; </mi> </msub> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mo> &#8805; </mo> <mn> 0 </mn> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> &#957; </mi> <mo> &#8712; </mo> <semantics> <mi> &#8477; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalR]&quot;, Function[Reals]] </annotation> </semantics> </mrow> <mo> &#8743; </mo> <mrow> <mi> x </mi> <mo> &#8712; </mo> <mi> &#8477; </mi> </mrow> <mo> &#8743; </mo> <mrow> <mn> 0 </mn> <mo> &#8804; </mo> <mi> x </mi> <mo> &#8804; </mo> <mn> 1 </mn> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <geq /> <apply> <ci> PolyLog </ci> <ci> &#957; </ci> <ci> x </ci> </apply> <cn type='integer'> 0 </cn> </apply> <apply> <and /> <apply> <in /> <ci> &#957; </ci> <reals /> </apply> <apply> <in /> <ci> x </ci> <ci> &#8477; </ci> </apply> <apply> <leq /> <cn type='integer'> 0 </cn> <ci> x </ci> <cn type='integer'> 1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", "x"]], "]"]], "\[GreaterEqual]", "0"]], "/;", RowBox[List[RowBox[List["\[Nu]", "\[Element]", "Reals"]], "&&", RowBox[List["0", "\[LessEqual]", "x", "\[LessEqual]", "1"]]]]]]]]

2002-03-07