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Fungrim entry: fc427b

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

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Abs∣z∣\left|z\right| Absolute value
ImIm⁡(z)\operatorname{Im}(z) Imaginary part
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("fc427b"),
    Formula(LessEqual(Abs(Im(z)), Abs(z))),
    Variables(z),
    Assumptions(Element(z, CC)))

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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