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http://functions.wolfram.com/04.06.03.0003.01
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Mod[1, n] == n + 1 /; Element[-n, Integers] && -n > 0
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Mod", "[", RowBox[List["1", ",", "n"]], "]"]], "\[Equal]", RowBox[List["n", "+", "1"]]]], "/;", RowBox[List[RowBox[List["Element", "[", RowBox[List[RowBox[List["-", "n"]], ",", "Integers"]], "]"]], "\[And]", RowBox[List[RowBox[List["-", "n"]], ">", "0"]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <semantics> <mrow> <mn> 1 </mn> <mo> ⁢ </mo> <mi> mod </mi> <mo> ⁢ </mo> <mi> n </mi> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <rem /> <cn type='integer'> 1 </cn> <ci> $CellContext`n </ci> </apply> </annotation-xml> </semantics> <mo> ⩵ </mo> <mrow> <mi> n </mi> <mo> + </mo> <mn> 1 </mn> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <mo> - </mo> <mi> n </mi> </mrow> <mo> ∈ </mo> <msup> <semantics> <mi> ℕ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalN]", Function[Integers]] </annotation> </semantics> <mo> + </mo> </msup> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <rem /> <cn type='integer'> 1 </cn> <ci> $CellContext`n </ci> </apply> <apply> <plus /> <ci> n </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <in /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> n </ci> </apply> <apply> <ci> SuperPlus </ci> <integers /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Mod", "[", RowBox[List["1", ",", "n_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["n", "+", "1"]], "/;", RowBox[List[RowBox[List[RowBox[List["-", "n"]], "\[Element]", "Integers"]], "&&", RowBox[List[RowBox[List["-", "n"]], ">", "0"]]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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