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Fungrim entry: ba6d81

Im ⁣(x+yi)=y\operatorname{Im}\!\left(x + y i\right) = y
Assumptions:xR  and  yRx \in \mathbb{R} \;\mathbin{\operatorname{and}}\; y \in \mathbb{R}
\operatorname{Im}\!\left(x + y i\right) = y

x \in \mathbb{R} \;\mathbin{\operatorname{and}}\; y \in \mathbb{R}
Fungrim symbol Notation Short description
ImIm(z)\operatorname{Im}(z) Imaginary part
ConstIii Imaginary unit
RRR\mathbb{R} Real numbers
Source code for this entry:
    Formula(Equal(Im(Add(x, Mul(y, ConstI))), y)),
    Variables(x, y),
    Assumptions(And(Element(x, RR), Element(y, RR))))

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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