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Fungrim entry: c53d94

z−1=1z{z}^{-1} = \frac{1}{z}
Assumptions:z∈Cz \in \mathbb{C}
Alternative assumptions:z∈K∖{0}  and⁡  K∈Fields⁡  and⁡  Q⊆Kz \in K \setminus \left\{0\right\} \;\mathbin{\operatorname{and}}\; K \in \operatorname{Fields} \;\mathbin{\operatorname{and}}\; \mathbb{Q} \subseteq K
TeX:
{z}^{-1} = \frac{1}{z}

z \in \mathbb{C}

z \in K \setminus \left\{0\right\} \;\mathbin{\operatorname{and}}\; K \in \operatorname{Fields} \;\mathbin{\operatorname{and}}\; \mathbb{Q} \subseteq K
Definitions:
Fungrim symbol Notation Short description
Powab{a}^{b} Power
CCC\mathbb{C} Complex numbers
QQQ\mathbb{Q} Rational numbers
Source code for this entry:
Entry(ID("c53d94"),
    Formula(Equal(Pow(z, -1), Div(1, z))),
    Variables(z),
    Assumptions(Element(z, CC), And(Element(z, SetMinus(K, Set(0))), Element(K, Fields), SubsetEqual(QQ, K))))

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

2021-03-15 19:12:00.328586 UTC