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Fungrim entry: ebf8cc

∣Re⁡(z)∣≤∣z∣\left|\operatorname{Re}(z)\right| \le \left|z\right|
Assumptions:z∈Cz \in \mathbb{C}
TeX:
\left|\operatorname{Re}(z)\right| \le \left|z\right|

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Abs∣z∣\left|z\right| Absolute value
ReRe⁡(z)\operatorname{Re}(z) Real part
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("ebf8cc"),
    Formula(LessEqual(Abs(Re(z)), Abs(z))),
    Variables(z),
    Assumptions(Element(z, CC)))

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2021-03-15 19:12:00.328586 UTC