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Fungrim entry: 12664e

∣z∣≤∣Re⁡(z)∣+∣Im⁡(z)∣\left|z\right| \le \left|\operatorname{Re}(z)\right| + \left|\operatorname{Im}(z)\right|
Assumptions:z∈Cz \in \mathbb{C}
TeX:
\left|z\right| \le \left|\operatorname{Re}(z)\right| + \left|\operatorname{Im}(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
ImIm⁡(z)\operatorname{Im}(z) Imaginary part
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("12664e"),
    Formula(LessEqual(Abs(z), Add(Abs(Re(z)), Abs(Im(z))))),
    Variables(z),
    Assumptions(Element(z, CC)))

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2021-03-15 19:12:00.328586 UTC